The Gunners face Bayern Munich on Tuesday in the first leg of their last-16 tie bidding to keep their last chance of winning a trophy intact following Saturday's defeat to Blackburn Rovers in the FA Cup.
Wilshere thinks that his side can look to Chelsea's success in Europe last season but will need to show character and class to get past Bayern over two legs.
He told The Guardian: "Chelsea are an inspiration for everyone. They weren't having a good season and OK, they got a bit lucky in some games, but they showed great character and we need to do that.
"We need to come together as a team. It's disappointing to go out of the FA Cup. We wanted to go all the way. Everyone said it was our best chance to win a trophy. We have to regroup now. We have a big game on Tuesday. We need everyone behind us. We know what Bayern are capable of. They have a great team.
"It's not ideal to go into a game like the one against Bayern after that loss. but we've beaten big European teams here before so we need to do it again. We need a good defensive display and to counter them well. They've got a good defensive unit. It's going to be an interesting game. We look forward to it."
The Gunners go up against a Bayern team that have conceded just seven league goals this season to lead the Bundesliga by 12 points after 22 matches.