Ozil has been instrumental in Arsenal's successful run this season, contributing seven goals and four assists in all competitions with Arsene Wenger's charges going 16 games unbeaten.
Pires revealed that Ozil's performances reminded him of former team-mate Bergkamp, in terms of his ball control and long-passing ability.
"I do not like to compare the players, the team or the manager", the Frenchman told SkySports. "But for example in my time, it was an honour to train every morning with Bergkamp or Thierry Henry.
"But as I am still training with the team, I can judge some players. Because if I can compare Ozil and Bergkamp, they are very similar in everything because they can smell the same football.
"They play for the team and not anyone else, they have very good control. Bergkamp and Ozil can play very long balls and they have very good vision. Ozil and Bergkamp are very close."