The former striker believes now is the time for the Arsenal boss to be handed the job.
The Three Lions are currently on the hunt for their next manager after Roy Hodgson resigned following the humiliating Euro 2016 exit to Iceland.
There are likely to be a whole host of names linked with the position in the months ahead to ensure the FA make the right appointment for the future.
The bookmakers have already named their list of potential replacements, with Arsenal manager Arsene Wenger among them, and as far as Sheringham is concerned now is the time for the Three Lions to turn to the Gunners boss.
"It’s time England turned to Arsene Wenger,” he told Paddy Power. “You need a bit of everything in a football team. That blend is crucial. At this level you need to keep the ball and control games. That is what Arsene Wenger’s teams do.”
Wenger would certainly be an interesting appointment for England should they manage to convince him to take the role.
Despite not being English, he arguably has a better understanding than anyone currently in the English game given the time he has spent at Arsenal.
He also fulfils that elder statesman role that the FA have been keen to have with appointments such a Hodgson and perhaps suggesting him as the next manager is not as far fetched as many believe.