Olivier Giroud expects Arsenal's win against Bayern Munich to give them a lift when they return to Premier League action this weekend.

The French striker got Arsène Wenger's side off to a great start at the Allianz Arena on Wednesday, converting Theo Walcott's cross inside three minutes.

Laurent Koscielny's late header earned Arsenal a 2-0 victory and, although they were knocked out of the Champions League on away goals, Giroud says belief is now high ahead of Saturday's trip to Swansea City.

"We showed a lot of great things tonight so we can believe," Giroud told Arsenal Player.

We had a good reaction after the first leg. It’s good for the future and we have to continue and focus because we have a big game in three days against Swansea

Olivier Giroud

"We were so close to the qualification so we are so disappointed but we can be proud of ourselves. We made the people who trust us and follow us proud.

"The first leg was not very good for us and the third goal we conceded at the end of the game [to Mario Mandzukic] killed us. Tonight it makes the difference.

"We almost played the [perfect] performance tonight because we scored early in the game and scored the second one. It was an amazing finish for us but Bayern did the job after. They lost a lot of time and it was a little bit too late.

"But overall we had a good reaction after the first leg. It’s good for the future and we have to continue and focus because we have a big game in three days against Swansea.

"It will be a hard game but we need the win to reach Tottenham and Chelsea. We need to carry on."

Copyright 2014 The Arsenal Football Club plc. Permission to use quotations from this article is granted subject to appropriate credit being given to www.arsenal.com as the source Chris Harris 14 Mar 2013