The Three Lions will start the search for their new manager in the coming weeks and months following Roy Hodgson’s resignation on Monday.
He left his role after their disastrous Euro 2016 campaign ended in defeat to minnows Iceland at the last 16 stage.
A number of names are likely to be on the shortlist, with the FA keen to take their time in appointing their next appointment. The bookmakers have already drawn up their list of potential candidates and Sunderland manager Allardyce is among them.
He would not prove to be the popular choice, but Bernstein says he would go for him if he were in charge.
“I’m not saying we should have an English manager. But, of the English managers, I actually would go for Sam Allardyce," he told the Telegraph.
“He’s a very powerful character. I think he’s got the personality, the strength, he’s a good technical manager, he’s very experienced and he’s someone who perhaps could imbue confidence.”
It will certainly be interesting to see who England turn to take up the reins after Roy Hodgson’s departure.
As usual with the national team there is a call for the manager to be English, but that could be difficult to achieve given the lack of top homegrown candidates at present.
Allardyce would certainly top that list should the FA be determined to put another Englishman in charge, especially after his work with Sunderland last year.