Ozil effortlessly buried Aaron Ramsey's cross for the opener and then provided the second for Olivier Giroud in a devastating opening 15 minutes for the Gunners at Emirates Stadium.
The 24-year-old joined Arsenal from Real Madrid in the summer for a club record fee of £43million and Wenger hailed the impact he has made.
"Ozil is like the team in that he had an outstanding first half that had everything you want to see from a great player," Wenger said.
"There was individual skill, team play, finishing and final ball. Just sit there and enjoy it.
"I loved him when he was at Madrid, I thought he was great there. We are lucky to have got him.
"He enjoys playing football and enjoys playing with his team-mates - he's integrated very quickly.
"We got so much stick at the start so now I'm cautious, but of course he's given belief to everyone around the club. Belief is part of success in football."
Arsenal have a great chance of progressing from a challenging group after recording victories over Marseille and Napoli with a home clash against Borussia Dortmund their next assignment.
The Italian side were feared as strong opponents, but they were swept aside with ease by the Barclays Premier League leaders.
Source: PA
Source: PA