“There is no chance of the Euros for him,” said Wenger. “He will be back at the beginning of July.”
Oxlade-Chamberlain, who made his England debut against Norway in 2012, had been scheduled to feature for the Gunners’ Under-21 side earlier this week.
“He was out for a while and was not overloaded with games,” Wenger added.
“You want a guy of 22 years of age to go to the European Championship, so it is very sad.”
Oxlade-Chamberlain was a surprise call-up to Roy Hodgson’s squad for Euro 2012, becoming the third-youngest England player to feature at a major tournament when he started the 1-1 draw with France in Donetsk.
He was part of Hodgson’s 23-man World Cup squad in 2014, but did not feature after injuring a knee during England’s final warm-up game against Ecuador.
England will face Russia, Slovakia and Wales in Group B at Euro 2016, which begins on 10 June.
Liverpool will “take the opportunity” when they play holders Sevilla in the final of the Europa League on 18 May, says Reds manager Jurgen Klopp.
After losing the first leg of their semi-final 1-0 in Villarreal, Liverpool produced a dominant display at Anfield on Thursday to win 3-1 on aggregate.
“When you perform like we did then you want to have it all and that is what we will try,” said Klopp.
“We will go there and try to do everything for this wonderful club.”
The match – at St Jakob-Park in Basel, Switzerland – will be Liverpool’s first European final since losing 2-1 to AC Milan in the Champions League in 2007.
The Reds have won eight of the 11 European finals they have appeared in – five of seven in the European Cup/Champions League and three of three in the Uefa Cup/Europa League.
Should they beat Sevilla, who are trying to win the Europa League for the third successive season, they will join the Spanish side as the most successful in the competition with four victories and earn a place in next season’s Champions League.
“I don’t know what it means that it is nine years between Liverpool’s last final,” said Klopp, who replaced Brendan Rodgers as manager in October.
“A lot of teams want to go to finals, it is not too easy, but it is a real opportunity and we will take the opportunity.”
An early Bruno Soriano own goal set Liverpool on their way, before second-half strikes from Daniel Sturridge and Adam Lallana completed victory over their Spanish opponents, who finished the match with 10 men after Victor Ruiz was sent off.
‘100,000 Liverpool fans for the final’
Liverpool, Champions League winners in 2005, were backed by impressive support from the moment the team bus arrived at the stadium.
Hundreds of fans packed Anfield Road to welcome their players and continued their vociferous support throughout the game.
Klopp says as many as 100,000 Liverpool fans could travel to Switzerland for the final, though FC Basel’s stadium can only hold 38,000.
Klopp hails ‘unbelievable’ Sturridge
Klopp did not named a recognised striker in his starting line-up for the first leg, with Sturridge left on the bench.
However, he restored the England international to the first XI and was rewarded with an impressive performance.
Sturridge scored Liverpool’s second after being the closest Reds player to Soriano when he put through his own net – and he was also involved in Lallana’s goal.
Klopp said the 26-year-old had a “great game”, adding: “When Daniel Sturridge is fit he is an unbelievable striker, but even he needs players to play with and I know about his quality, I knew before I came here. Great player.”
Special times ahead for Liverpool?
Liverpool produced another memorable European performance at Anfield, after coming from 3-1 down to knock Borussia Dortmund out in the previous round.
It means Klopp is into his second final with the club since taking charge just seven months ago. They lost on penalties to Manchester City in the League Cup final in February.
“In 2016, the team have shown a lot of times what they could be capable of in the future so that’s a good sign and that is more important for me as a manager,” said Klopp.
Former Liverpool striker Michael Owen said on BT Sport: “Over the last few months we’ve really seen something special.
“There’s such high energy levels, the pressing we all knew Jurgen Klopp was going to bring over. But he’s just improving players – the likes of Adam Lallana, Simon Mignolet and Dejan Lovren – as well.
“There’s special times ahead. It’s almost like they are unbeatable here. It’s becoming a fortress.”
The Clarets bounced back at the first attempt after being relegated to the Championship last season.
“Promotion to the Premier League provides clubs with the resources to make strategic investments on and off the pitch,” said Richard Battle, senior manager in Deloitte’s sports business group.
“While the short term priority is usually investment in the playing squad, a strong emphasis on ongoing financial stability can leave a club well positioned for the future – whether or not they survive that first season.
“Burnley bouncing straight back to the top flight of English football is evidence that short-term financial restraint can support medium-term success.”
Premier League executive chairman Richard Scudamore said he was excited by the final-day encounter and the interest it had generated.
“It’s been excellent. Burnley, obviously, we welcome them back. Sean Dyche has done a great job. But then the one next Saturday is tantalising,” he told BBC Sport.
“I was looking to see if I could get from there to Leicester in time but I don’t think I can.
“Middlesbrough, Brighton – either of which would be great to have in the league and then we still have the play-offs to come.”
Confidence and calm on Teesside
Middlesbrough are in the stronger position going into the game, with home advantage and knowing that avoiding defeat will take them into the Premier League.
Head coach Aitor Karanka has steered his side on a nine-game unbeaten run, although the past three matches have ended in draws.
“Even when we couldn’t win the last three games the performances kept me calm,” Karanka told BBC Tees.
“I don’t need to say anything, they’re calm, they’re looking forward to the game, they know how important this game is for everybody.
“They’re ready, they’re training really well so we’re just carrying on.”
‘Fans fought to save Seagulls’
Brighton are looking to return to the top flight for the first time since 1982-83, having been one game away from relegation from the Football League in 1997.
Like Swansea and Bournemouth, two clubs that made it from one end of the pyramid to the Premier League, Brighton can follow in their footsteps with victory at the Riverside.
“Promotion would be the culmination of a lot of work from a lot of people,” chief executive Paul Barber told BBC Sussex.
“The fans fought so hard to save the club and keep the club alive when it was playing at Gillingham and Withdean. It would be a massive reward for those people.
“For everyone, it would be an amazing achievement and an amazing occasion.”
‘I will prepare us to win’
Brighton face a Boro side that has lost only twice and conceded only seven goals at the Riverside.
Despite Middlesbrough needing one point for promotion, Karanka said he would urge his team to get all three.
“I don’t know how to prepare a game just to draw, in my experience, if you go to the pitch looking for the draw at the end you lose the game,” the Spaniard added.
“I will prepare my team to win the game.”
The significance of returning top-tier football to the Riverside is firmly in the mind of captain Grant Leadbitter.
It is seven years since the Teessiders were relegated from the Premier League and after last year’s play-off final defeat by Norwich, Leadbitter said the emotions need to be channelled correctly.
“It’s more than three points. We have to play with our heads rather than our hearts.” Leadbitter told BBC Tees.
“I’d be lying to say it’s a normal game but in the back of minds it has to be, it has to be another 90 minutes of football.
“We have to be drawn into the occasion because it’s a big game but we’ve got to be calm, collected and use our ‘noggin’.”
History has no bearing for Brighton
The Seagulls know the full force capable from Saturday’s opponents, having seen their proud unbeaten record ended by Middlesbrough in a 3-0 hammering at the Amex Stadium in December.
It triggered a mini-slump over the festive period, but one defeat in the past 19 games has propelled Albion right back into contention.
“Middlesbrough were probably the best side we played at home this season, but that was a while ago. It’s all about timing,” Brighton manager Chris Hughton told BBC Sussex.
“They’ve got the quality they’ve got. If we want to get a result on Saturday then we’re going to have to play well.
“They got to the play-off final last year and lost – and I think they’ve learnt from that.”