England legend Alan Shearer feels Hull City boss Steve Bruce should be considered for the Three Lions job.
The FA are on the lookout for a new boss to replace Hodgson, who resigned following England's humiliating exit from Euro 2016 at the hands of minnows Iceland.
Shearer believes former Manchester United defender Bruce, who last season guided Hull back to the Premier League, would be perfect for the job.
"I get that there is not a huge list of suitable English candidates. But there are people out there who should be considered and spoken to," Shearer told The Sun.
"Why wouldn't they give it to Steve Bruce? He would be my pick. Bruce has worked in English football all his life.
"He knows the game inside out and is widely respected. He has played at the highest level with Manchester United.
"Bournemouth boss Eddie Howe lacks top-level experience but could do a job. If they go for Eddie Howe, that would be fine as well. I wouldn't have an issue with that.
"He is young, energetic and fresh and he would fit with the FA's so-called blueprint. The players would respect him, he's a contemporary of theirs.
"Alternatively, why not do what Germany did and give (Frank) Lampard, Rio (Ferdinand) or (Steven) Gerrard a go, with an experienced coach next to them? If anyone knows where we have gone wrong in the last few years, those guys do.
"They would know how to motivate the younger generation, understand why they fear failure so much, give them ways to cope with the pressure."