Wenger's position at the Emirates has been under enormous scrutiny over the past few weeks after his side lost four straight games, including the Carabao Cup final.
The Emirates could be half-full for the game and ex-Arsenal forward Charlie Nicholas believes the sight of empty seats could convince Wenger to call it quits. But the former apprentice has revealed that he would have to wait for Wenger to leave on his own terms before he could take over.
"I think if it's the end of the story, he'll be the first to recognize it", he told L'Equipe.
Vieira is carving a path in management himself and is the current head coach of American side New York City FC.
"He has the right to make this decision himself".
"Then we can discuss how the team plays or something else, but I find that the criticisms that fall on Arsene on a personal level are hard to accept". I'll be shocked if he didn't get a good job, I'd be quite shocked if he didn't get the Arsenal job'.
"Well after the shambles of Arsenal's last home game in this competition, when they almost blew it against Ostersund, Arsene Wenger will play a strong line-up with a free weekend to follow", Nicholas told Sky Sports.
Numerous former players have been touted as possible successors to Wenger, including Vieira and Thierry Henry, and the former Gunners captain, who won three Premier League titles at Arsenal, has not closed the door on a possible managerial return. But maybe one day.
"I can not say anything more because there is nothing to say about it and I do not want to offend Arsene, whom I adore and for whom I have a lot of respect".