The New York City FC coach has admitted interest in the job.
"Of course he is my friend, I talk a lot with him and I can reply yes," Pires told beIN Sports.
“I think Patrick Vieira is ready, he's done very well with New York City for three seasons and has a lot of capacity to be Arsenal manager.
“Arsenal and Vieira, yeah. Should be good, very good.
“I say again, I think Patrick Vieira is ready for Arsenal. 100 per cent, yes.
“I hope he will say: 'yes, I'm ready to come and take the seat on the bench.' It's my dream."