"With my history at Blackburn, I would speak to them absolutely."
He added: "It's a strange one at Blackburn, I'm sure they had a plan with Steve Kean but it's now a tough situation. Whoever they appoint, they have to make sure it is the right choice.
"I think things would have to change whoever goes in at Blackburn."
Shearer, who also scored 30 goals in 63 England appearances, formed a formidable partnership with Chris Sutton at Rovers, scoring a Premier League record 34 goals in the title-winning season.
Former Blackburn title-winning defender Graeme le Saux told the BBC afterwards:
"It sounds like Alan Shearer would quite like the job. He's leaving the door wide open. If the owners (Venky's) are going to look at appeasing the fans then anyone linked with the club through the success that we had in the 90s would be a good starting point. But the fundamental problems with the club go far deeper than that. It's important the Venky's learn from the mistakes they've made and get in a proper structure of professional people. That goes all the way through the business. The manager is then part of that system."
However, he has only had one previous coaching role since retiring from playing for Newcastle at the end of the 2005-06 campaign and it ended in relative failure. Shearer swapped working as a pundit on the BBC's Match of the Day to take over at Newcastle for the final eight games of the 2008-09 Premier League season while permanent manager Joe Kinnear recovered from heart surgery.
However, he was unable to stop United from being relegated and with Kinnear unfit to return to work, Chris Hughton was promoted from the coaching staff to take over as manager.
Former Coventry and Scotland star Eric Black is currently in caretaker charge at Ewood Park and saw his side lose 1-0 at home to Wolves. Good news for Rovers was the boost in crowd, the largest since relegation with over 17.000 responding to the departure of Steve Kean.
They will be hoping to a man or woman that their former idol will again don a track suit.