The former Chelsea midfielder believes the Gunners have signed a player at the peak of his powers as well as someone who will add a touch of class to the Premier League.
Arsenal boss Arsene Wenger made Ozil his second transfer window signing for a club-record fee from Madrid on transfer deadline day, and Ballack thinks he has all the attributes to do well in the Premier League.
The former Germany international - who spent four years in England with Chelsea - sees Ozil as the kind of player who can change games for Arsenal, helping to end the club's eight-year wait for silverware.
"Mesut is a young player and at his peak," Ballack said. "He is an outstanding player, who joined a new club, I don't think it's a problem [being nervous about playing in England].
"Arsenal is a great club and paid a lot of money for him. That proves his exceptional standing on international level, this amount is not common.
"I really hope everything works well for him, he will be an addition to the league especially with his technical skills and pace with the ball.
Ozil joins fellow Germany internationals Per Mertesacker and Lukas Podolski at Arsenal, and he could make his debut on Sept. 14 against Sunderland.