Wenger will reach the milestone at Stamford Bridge tomorrow when his side take on Chelsea in the Premier League.
The Gunners boss is said to have played a pivotal role in bringing Ozil to the Emirates from Real Madrid last summer for a reported £42.5m fee.
Ozil wrote on his Facebook page: "On Saturday the boss will celebrate his 1000th game at Arsenal. what a number. we couldn't imagine the Gunners without him. it was him who brought me to London. thank you for your trust! #Wenger1000"
Arsenal are currently third in the league table, four points adrift of leaders Chelsea.