The German World Cup winner was not named in the squad for the trip to Stamford Bridge, with manager Arsene Wenger confirming that the midfielder is not fit enough to play.
Ozil also played no part in Arsenal's 3-1 victory over FC Koln in Thursday's Europa League group match at the Emirates.
After learning of the 28-year-old's injury, Wright, who spent seven years at the North London outfit, took to Twitter.
Ozil's injured! When did that happen 😡— Ian Wright (@IanWright0) September 17, 2017
Arsenal have won two of their opening four league matches.