Ozil was again outstanding in victory over Stoke City.
"He's really enjoying himself. He looks very determined and happy and he's a humble boy as well. Coming from a club like Real Madrid you would expect a player to come with a bigger head on their shoulders but he's very down to earth and he's passionate," Gibbs told arsenal.com.
"It's positive for us and a signing like Ozil is going to push our squad forward because you don't want to let him down. You want to perform for him and he will take us to the next level."