Arsenal hammered an abject Galatasaray side but could not claim top spot in Group D as Borussia Dortmund avoided defeat in their final group game.
The Gunners – criticised for defeat at Stoke on Saturday – responded with three goals inside 30 minutes, Lukas Podolski powering an opener.
Aaron Ramsey slotted a second and added a stunning left-footed 35-yard volley.
Wesley Sneijder hit a free-kick consolation before Podolski rolled a second with the final kick of the game.
It was fitting that Podolski, impressive throughout, ended the night by netting his third goal of the season with a powerful run but light finish.
He has only started six times in Arsenal’s faltering league campaign but led from the front as Wenger’s side delivered the response he asked for after defeat against the Potters.
Criticism of the Frenchman and his side has at times been stinging this season and though their hosts registered 32 attempts on goal at the Turk Telekom Arena, Arsenal’s dominance was visible.