The 24-year old German playmaker joined the Gunners from Real Madrid for £42.4million and after plenty of battles in Spain, Barcelona's Fabregas is well-versed to make a call on Ozil starring at his former club.
"He's going to enjoy the Premier League a lot," said the ex-Gunners skipper.
"It's a league with a lot of space and he is a player who can kill you when he has space."
He added: "He has a brilliant final pass and I think the Premier League is going to enjoy him very much.
"I think he will nail it at Arsenal."