Cork has been linked with Burnley and QPR.
He said: "I'd still like to speak to Chelsea and see what the new manager is saying - but after five years going on loan it's probably time to get out.
"The situation at Chelsea is understandable because you've got so many good players, but it's getting to the stage where I'm a bit old to be the reserve player or the youngster breaking through.
"I've loved going out on loan. It has given me experiences I could never have had if I'd just been sitting in the reserves, but now I want to be settled in a team I can call my own.
"I want to feel the consequences of defeat, and what it means to win in my own team."
Everton boss David Moyes, Swansea chief Brendan Rodgers and Bolton gaffer Owen Coyle are also monitoring his situation.