It depends how many friends in the press they have. I can remember the headlines before Italia '90 about Bobby Robson:
In The Name Of God, Go Now; printing a photo of Graham Taylor with his head turned into a turnip etc. Both of these guys were decent men, GT was out of his depth, true, but it was the press who built him up for the job in the first place after having had a couple of decent seasons with Villa. Uncle Bobby became one of the most respected coaches in Europe...
In fact the only England manager in my memory who wasn't attacked by the press was Terry Vanables who, guess what, has friends in Fleet Street, most notably Jeff Powell and Harry Harris. Powell in particular waged a campaign against Eriksson from the start largly based on the fact that he wasn't English and Harris has his finger so close to the football pulse that he ran a 'Beckham has joined Barcelona' story the morning he signed for Real Madrid.
It's going to be another English/Johnny Foreigner split for the next appointment I think. Gus Hiddink and Big Phil Scolari have openly expressed interest and have excellent records (Scolari knocked England out of both the World Cup and European Champs). Will the FA take the chance of more xenophobic bad publicity?
The only English manager to have touted himself for the job is Sam Allerdyce (friends in the press, always offering his opinion on TV whether it's asked for or not). He's done an excellent job on limited resources with Bolton but his teams play awful, negative, dirty football. He's never won a trophy and this is his first season managing in European club competition.
It's going to be interesting.