Ozil has been questioned in the past for his lack of influence on big games for the Gunners, and he was once again quiet during Wednesday's 5-1 hammering at the hands of Bayern Munich at the Allianz Arena.
Kahn is in no doubt about the quality Ozil possesses, but believes that it is a "shame" that he is failing to make the most of it on the big occasions.
"The players were so passive, especially Ozil. Of course Arsenal have their qualities, especially on the counter-attack, and they have good players like Ozil, but I haven't seen him. Maybe you saw him?" he told ZDF television.
"It's sad to see what Ozil is calling a performance, how passive he plays, a player of his genius and qualities - it's a shame."