Perez had recently questioned whether the 24-year-old possessed a strong enough mentality necessary to succeed at the Santiago Bernabeu.
Instead of being embroiled in a war of words with his former employer, the Germany international has pointed to his record throughout his three-year stay in the Spanish capital.
He told reporters: "First of all, I had three wonderful years in Madrid, I do not want to add anything on that. I am now at Arsenal and very happy.
"But if you see my figures [at Real Madrid] and how many games I played there, then you can also see my professionalism so I do not want to say anything more about it."
Ozil has enjoyed a solid start to his Gunners career following his £42m deadline-day move to the Emirates Stadium, netting once and bagging four assists thus far.