Murphy spent five seasons at Fulham and has claimed that he would be keen on a return to Craven Cottage.
"I care about the club deeply and I've always had a desire to get involved but that's out of my hands," he told BBC Sport.
"I've always said I'd like to go back to Fulham at some point in some capacity because I have an affinity with the supporters there.
"If they did want to speak to me, of course I'd be open-minded to that. I would never disregard something like that."
Murphy made nearly 200 appearances for Fulham and captained the side in the 2010 Europa League final.