Shearer said: "I am surprised as anyone to see my name up there."
But Shearer, 37, added: "I think there are many more candidates above me with a lot more experience than I have. I've taken my coaching badges and my A and B licences and management does interest me at some stage.
"But when that is don't know. Right now I'm happy with what I am doing as a pundit for the BBC."
The ex-Newcastle and Blackburn goalscoring hero does not agree it is an impossible job.
He added: "I think it is a great job for someone.
"I believe there are some very good players in that England squad.
"It is just about getting the best out of them."