Allardyce accused him of trying to manipulate referees via the media, while Stoke boss Pulis slammed Wenger for comments attacking the Potters' aggressive style.
But Wenger stuck to his guns yesterday, saying the criticism is like water off a duck's back.
He commented: "I was surprised - they shouldn't do it because I do not criticise them.
"But I've lived here for a long time and know how it works, so I can live with it.
"At the end of the day I look at what I do right or wrong and try to be objective.
"I said I was wrong in our last away game at Sunderland and I accepted the one-match ban."