The German arrived at the Emirates Stadium from Real Madrid for £42million in the summer but after a scintillating start, has dropped right off the pace.
Critics slammed Ozil after his performance in Wednesday night's 2-0 Champions League loss to Bayern Munich where he missed a penalty early before the Gunners were reduced to ten men.
Winterburn told Extra Time on talkSPORT that he believes Ozil should not be dismissed so quickly as he needs time to adapt to the demands of English football and his new surroundings.
"When you come with a big reputation [it's hard]," he said. "The way he started [was brilliant] but he's still coming to terms with life at Arsenal. It's very hard.
"I don't see Ozil as a player who's going to dominate a game for 90 minutes. He's a player who comes in and out of games. As a long as he's coming into the game a fair bit, and making contributions, [then that's OK]. That's what we're going to see with Ozil.
"People are also going to ask questions because of his transfer fee and the fact his performances have dropped.
"I've always said, no matter where you come from, when you make a big move, you have to be judged on your second season."
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