The 23-year-old Germany international has not been at his best so far for the Spanish champions and was dropped from the starting lineup against Granada in La Liga on Sunday.
"If you're playing for Real, you have to live with these kind of of criticisms," Ozil told Bild. "The way in which the Spanish media speaks is quite a bit tougher than in other countries.
"But we, as players for Real, learned to deal with this. If you can't deal with it, you won't make it with Real.
"Every Madrid player is always under pressure and has serious competition. Real have got a minimum of 18 players, not only 11. You get used to it. But it's not about Ozil, Kaka or Modric: it's all about Real."
Madrid have collected four points from three matches in La Liga so far this season.