The Frenchman was part of Arsenal’s ‘Invincibles’ side of 2003-04, and is considered one of the club’s greatest players.
Wenger, who has left Arsenal after 22 years at the club, faced calls to be sacked from a section of the club’s fans on a number of occasions during the final years of his tenure.
And Pires believes his former manager was unfairly treated by those supporters.
“The last home against Burnley, it was an emotional day for him, the players and even for the fans.
“I think when the fans started saying ‘Wenger Out’, I felt it was unfair.
“So it was an important day for him to say thank you very much for everything. His speech was very good. For me, it was a difficult day.
“I’ve seen the shortlist to replace Wenger”
Pires says he has seen the shortlist of managers who could potentially replace Wenger in the Emirates dugout.
He continued: “I have seen the shortlist: Allegri, Carlo Ancelotti, Mikel Arteta – why not? I think all of them could manage Arsenal.
“There’s maybe a small advantage for Allegri and Ancelotti as they both have a lot of experience in Italy, Germany and England.”
“With Vieira – and this is only my opinion – yes. Not just because he’s my friend. Forget this,” he said.
“However, he has a very good profile to replace Arsene Wenger, because he knows football, he knows the Premier League and of course, he knows Arsenal.
“So that’s why I say yes, Patrick Vieira is ready to manage Arsenal.”