The Germany playmaker's ?43million move on transfer deadline day was met with disbelief from several former team-mates at the Bernabeu, with Ozil suggesting he felt no longer central to the plans of Real Madrid manager Carlo Ancelotti following the world-record signing of Gareth Bale from Tottenham.
However, Real Madrid president Florentino Perez has subsequently claimed Ozil in fact asked to leave the Spanish club because "he couldn't handle the pressure at Madrid".
Wenger, though, insists Ozil - who made an impressive contribution in both his Arsenal appearances so far and is set to play at his new home for the first time against Stoke on Sunday - is the complete professional.
"No, I have not seen that at all," said Wenger when asked if Ozil looked like a player seeking the easy life away from Madrid.
"He is 24, he has over 50 caps for Germany and when you play for Germany, you are under a lot of pressure. He won the championship with Real Madrid, and that is a club where there is a lot of pressure, but I could not detect that.
"Ozil has integrated well, and been well accepted.
"I think he is not at the top physically yet, overall we are very pleased to have him with us, but he will demand a bit of time to adjust to the vigorous body challenges he will face here in the Premier league.
"Once he has done that, he will be even stronger."
A player who has certainly come on leaps and bounds in the first few games of the new campaign is Aaron Ramsey.
Source: PA
Source: PA