Wales international Ramsey was part of the Gunners side that drew 0-0 with the Potters at a venue where he broke his leg in 2010 during Arsenal's only ever Barclays Premier League win in Staffordshire.
On that day in February six years ago a challenge from Stoke skipper Ryan Shawcross left Ramsey out of action for 10 months and sparked a feud between Wenger and Stoke supporters which has dragged on to this day.
Ramsey has played in four of the past five meetings at Stoke since but on Sunday he was still booed by sections of the home support while chants about him walking "with a limp" were also directed at the midfielder
Wenger, who also thought Stoke were "very physical" in a game that featured no cards, believes those who were singing about Ramsey will feel a sense of shame after leaving the game.
"I don't listen too much
I focus on the game," the Frenchman said.
"I shut my ears and I think that's the best way to deal with it
I don't know what to do about it, I have no influence on it
I don't know what generally you should do about it.
"When people get together sometimes they forget their individual responsibility
Maybe when you go home and watch it on television you are less proud."
Arsenal fan Piers Morgan was more critical of the Potters' supporters in a series of tweets he posted on social media
Shawcross was emotionally distraught after leaving the pitch in 2010 having being sent off for his challenge on Ramsey and attempted to contact him to apologise
"Sounds like Stoke fans had their brains broken same day as Shawcross decimated Ramsey's leg
#SFCvAFC," Morgan said on Twitter
"Please tell me I didn't just hear Stoke fans chanting 'Aaron Ramsey, he walks with a limp'??????"
"Ramsey didn't have to accept Shawcross' apology any more than he had to accept my handshake
No excuse for these disgusting chants
Source : PA