Bernstein, speaking to Radio 5 Live ahead of today's official opening of the National Football Centre at St George's Park in Burton, revealed that Cole had followed up his apology to the FA on Friday with a personal apology on Monday night.
"He apologised immediately on Friday and he came to see me last night and apologised to me personally," said Bernstein.
"He showed real contrition. He said he was really sorry.
"He is free to play for England over the coming matches. It is up to the manager to decide whether he plays or not."