"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," said the veteran manager.
"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."
Midfielder Aaron Ramsey was also booed throughout the match after being on the wrong end of a leg-breaking challenge against the Potters, something that Wenger couldn't fully understand.
"I don't think you can be especially proud to boo Aaron Ramsey, I don't see what he has done wrong," added Wenger.
"It's an old story where the fans of Stoke stand behind their player but it shouldn't go as far as booing Ramsey."
Arsenal currently sit third in the Premier League, four points ahead of fourth-placed Newcastle.