Former Newcastle and England captain Alan Shearer has called for a double act of Gareth Southgate and Glenn Hoddle - but admitted his interest in the role.
Roy Hodgson stepped down after their elimination at the last-16 stage following the woeful 2-1 defeat to Iceland in Nice.
The Football Association will aim to appoint Hodgson's successor quickly, with current Under-21s manager and former Boro player and then manager Gareth Southgate the early favourite.
FA chief executive Martin Glenn was due to hold a press conference at England's Chantilly base at 5pm local time (4pm BST) in the wake of England's latest tournament turmoil.
Shearer, who said he would be interested in the role but thinks he "hasn't got a cat in hell's chance" of getting it, believes Hoddle, who managed England at the 1998 World Cup finals, should also return to the fray.
The former Three Lions striker told BBC 5Live: "It was pretty pathetic in myopinion. There was a lot of hype coming into the tournament about our young, energetic youngsters, our players aren't as good as we think they are.
"It was awful to watch, we were clueless. We were out-fought, out-battled,their tactics were better than ours and everywhere you looked on the pitch itwas pretty embarrassing."
Shearer admitted he had spoken to the FA several years ago about gettinginvolved in the national set-up and would be keen for further talks this timearound, though does not fancy his chances.