The Frenchman dismissed talk that the visitors were bossing the first-half but admitted that they played well and also suggested that his future at the club is not in his hands.
The Gunners have suffered a terrible start to the season - losing heavily at Manchester United and going down 4-3 at Blackburn at the weekend - and the Frenchman has had to fend off plenty of questions about his future.
But after his team came back from a goal down against League Two outfit Shrewsbury on Tuesday night to win 3-1, he repeated his stance.
"Whether I work for the next 10 years here or just the next day I will give my maximum for the club and let other people assess the situation," he told reporters. "I will focus on doing well that's all, and I must tell you, I am not bothered at all by these speculations at all.
"I am completely focused on doing well. I can understand that people are unhappy and criticize, but you know as well as I know that people are very quick to go overboard.
"I accept critics and I do not say that it does not matter when people criticize as I prefer like everyone else when people say I am good but you cannot complain when you lose a game and you are criticized.
"We take all the plaudits when we do well and we have to take the blame when it doesn't go well but when it goes well you can't completely believe what everyone says, and the same when it does not go well.
"I've just managed 14 years at this club and kept them in the Champions League all those years, and I hope it stays in the Champions League the next 14 years."
Wenger saw his side come back from a James Collins header inside the first-half but goals from Keiran Gibbs, Alex Oxlade-Chamberlain and Yossi Benayoun made sure Arsenal didn't suffer an embarrassing exit.