Martin says he’s more than happy to move up a weight division and face fellow Brit Carl Froch.
The St Helens puncher is a career middleweight and has no problems scaling 160lbs, but he feels a clash with Froch is the kind of opportunity every boxer dreams of.
Froch added the WBA super-middleweight crown to his IBF belt by defeating Mikkel Kesser at the O2 Arena in late May and rumours have been circulating about his next foe since.
George Groves and James DeGale have both been quick to call the Nottingham man out, but Murray believes he should head the queue of potential domestic opponents because he has greater experience on the world stage.
"I can do middleweight comfortably and that’s still the weight I want to fight at, but a Froch fight is one I’d be more than open to," Murray, 30, said.
"I believe styles make fights and I think me and Carl Froch would put on an absolute war.
"If Carl is going to fight another British fighter then I don’t see why my name isn’t in the mix. It makes sense from the American TV side of things with me now being known on HBO after the Martinez fight.
"There’s obviously George Groves and James DeGale, but they’re not yet proven at world level. Even though I’ve been boxing at the weight below, I’ve shown that I belong up there with the elite fighters, which is what Carl is."
He added: "I’ve said from day one that I want to be involved in big fights. When I look back at my career in the future, I want to be able to see I was in with the best."