I can't imagine for a minute that Guardiola could work with the FA. The FA is a political organisation more than anything, it would drive him crazy. If he wants international football, there would be better opportunities where the weather is better and where he would be left alone, if you ask me.
Assuming he wants international football at this stage in his career at all, when he can still give so much to club football, real football.
Klopp becoming "group" coach at Red Bull may give some indication of where these good managers get their next challenge.