The Dutchman spent eight years at the Gunners before joining their Premier League rivals in 2012
"You know that once you make a move like that, stuff like that happens," Van Persie said. "You have to take it on the chin and move on.
"You have to live with the consequences, you have to live with the choices you make and deal with them as a man. Don't take it all too personally and don't take yourself too seriously. This is my life, this is what I did and some people are happy with it, some people are not. That's life.
"The first game against Arsenal was mentally tough. It was at home in Manchester and I scored after three minutes. That was a very mixed feeling at that time because it was so soon. Afterward, I played six or seven times [against Arsenal], but that's [what happens] if you make a move like that."