The two clubs have had a stormy relationship since the Potters' promotion to the Barclays Premier League four years ago, with the main flashpoint coming two years ago when Ryan Shawcross was sent off for a tackle that broke Ramsey's leg.
The Stoke defender has been a target for Arsenal supporters ever since, and the home fans at the Britannia Stadium responded in kind today, although it was Wenger who took the majority of the stick.
The Gunners boss said: "I've had enough experience to cope with that. It doesn't bother me too much. I don't listen to what people chant.
"I think one day football will have to tackle that. It's easy to sit in the stand and insult people. It's the easiest sport in the world.
"I focus on what I love in my job, which is football and the way my players behave on the pitch. I'm not responsible for the way people behave in the stands. If you want to stop that, it's easy to stop. You can isolate every single face.
"I think sometimes when I go out on the pitch at the end of the game, and people are angry or hateful, I would like a little picture to send home for them to show their son or daughter, and then come back next week and see if they will do it again, see if they are proud of you."