Wenger slams stupid City supporters
Taylor's tackle in February last year left Arsenal's Brazil-born Croatia striker with an horrific leg injury that initially appeared to be career-ending.
Birmingham fans sang "There's only one Martin Taylor..." during a break in play at the Emirates after Theo Walcott received treatment after a full-bloodied tackle by Liam Ridgewell.
"That was frankly atrocious," Arsenal manager Wenger told Arsenal's website on Monday.
"They [the Birmingham fans] will not be remembered for the quality of their taste with that kind of remark. I didn't say a word when I heard the chant, I just thought 'that's low'."
Eduardo, who returned in February this year after 12 months recuperation, did not play against Birmingham on Saturday but was inside the stadium.
"I don't know how he felt about the chants. I just put that in the ranks of stupidity, you want to forget about it and not talk too much about it because there's not a lot to say.
"With people like that, one starts to say something stupid, everybody follows, even intelligent people. People lose their identity together, and their sense of responsibility."