United travel to the Emirates this weekend as part of Super Sunday, and they look likely to have been crowned champions by this point.
It will be the first time that Van Persie has returned to the ground where he spent six years before switching to Old Trafford last summer.
Van Persie was booed by Arsenal fans during the clash in Manchester earlier this season.
But Wenger said: "We will respect the players that have played for us a long time as we always have done and treat them well before and after the game.
"As a champion or not as a champion it is exactly the same.
"What I want is for us to have a good game and to beat them, it doesn't matter what kind if status they come with."