The Frenchman came under fire from Gunners fans on Saturday as they unveiled a banner reading 'Arsene, thanks for the memories but it's time to say goodbye' at their 1-0 win over West Brom.
Victory, earned by Danny Welbeck's second-half header, saw Arsenal seal successive wins after their 2-0 Champions League victory over Borussia Dortmund on Wednesday.
Arsenal fans remain frustrated with the Gunners' failure to compete for the Barclays Premier League title, though, with some calling for Wenger to leave after 18 years in charge.
However, the Gunners boss, who refused to answer questions about the banner, was unmoved.
Wenger said: "I don't comment on that. Do I need to say it again? I don't comment on your question."
He added: "Every person has responsibility to prepare for the future, always."
And Wenger insisted he had also ignored any criticism after last Sunday's 2-1 defeat to Manchester United.
"The only thing we can do is let people talk. We live in a society of total opinion but we live off not what we say but what we do, and what we do is on the pitch," he said.