Arsenal made a slow start at the Vasil Levski National Stadium and Wenger admitted his side had been "caught cold" by the home side before Xhaka halved the deficit with his first Champions League goal.
Ozil scored the Gunners' third as they came from two goals down to win 3-2 and reach the Champions League last 16.
Bearing down on goal, Özil sublimely chipped the keeper and then left two defenders on the ground after swivelling past their attempted tackles before slotting home in clinical fashion. To me it didn't look for a while like the optimal solution, but when the ball was in the net I thought it was!
And Wenger, who could make a few changes to his side given they face neighbours Tottenham in a north London derby on Sunday, wants to ease through this time, having taken seven points from their first three games.
"They take the optimum solution".
The game looked set to end all square until Ozil grabbed a dramatic victor, the German keeping his cool when through on goal with three minutes left. Arsenal remain unbeaten in Group A, with their 6-0 hammering of Ludogorets last time out leaving them top of the group on goal difference.
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Elsewhere in Arsenal's group, Thomas Meunier struck in the 90th minute to claim the three points for PSG, via a 2-1 win, at Basel. "It was important to keep the momentum going tonight and we come through with a win so we're in good shape going into that game and hopefully we can come away with a win there as well". "Of course, in the Champions League when you're 2-0 down away from home, with the crowd behind their team, it becomes very hard".
As seasoned as we are to their annual good run of form in the league, perhaps it's in European competition where we can get a further measure of their potential turnaround.
"We lost but with our heads up high", said Cafu.
Frenchman Olivier Giroud, making his first start of the season, headed home from Aaron Ramsey's cross just before the interval to restore hope for the travelling fans.
"We were less fluent in the second-half but we eventually got a goal close to the end".