The Germany international has not featured since limping off at half-time in the second leg of the UEFA Champions League last-16 tie against Bayern Munich on 11 March because of a hamstring injury.
Ozil endured a miserable time in the two ties, after missing a penalty in the first-leg before Arsenal eventually lost 2-0 at the Emirates Stadium.
But Ozil could feature in the squad for the Premier League trip to Arsenal's FA Cup final opponents Hull City on Easter Sunday.
Wenger said: "Ozil has prepared well and it depends how quickly he will come back into the pace of the game.
"He is a quick player and agile, so sometimes these players get you out of tight situations and open up to do something interesting behind (the defence) and, when they are not there, you don't get out of the situation and you lose the ball.
"He has gone through a difficult spell because physically he was not as present as you would expect him to be, and I can understand the judgement at the time when he was sometimes a bit (below form), you wanted more of him, but I think you are right that you see his quality when he is not there.
"The first season (in the Premier League) is the season in which you adapt and then you know what will happen and you go into it, and I believe that (next season) he will know better his partners, he will know better the league and the potential is absolutely fantastic."