The Gunners go head to head with the former Premier League champions for the first time since Van Persie made the controversial switch to Old Trafford from the Emirates last summer.
"I hope he gets a respectful [reception]," Wenger said in a press conference. "We campaign against discrimination, it should not be different this week.
"Saturday is not about him [for us]. It is about getting a result. I am not surprised he has been a success [at United]. He makes intelligent runs."
Arsenal currently sit six points below the Red Devils in the league table.