The Gunners boss does not believe the Germany international can be expected to carry the club on his own.
However, some unspectacular performances of late, coupled with a goal drought that extends back to December 8, have seen the Germany international's €50 million price tage called into question. But Wenger feels fans can be guilty of demanding too much from Ozil, particularly in terms of goalscoring.
"Sometimes people expect him to make the difference alone," the Frenchman told the club's official website. "Sometimes when it doesn't work you expect him to take the ball and put it in the net. He is more a passer than a finisher. [Goalscoring] is one of the things he can add to his game for sure.
"It doesn't need to be criticized; it needs to be encouraged. He is 25, he can only get better. The best years are coming for him now."