This has been confirmed by the Swansea, although Celtic are yet to comment on the approach
"I had a call off their chief executive (Peter Lawwell) making me aware that they'd like to talk to Roberto," Swansea chairman Huw Jenkins told BBC Wales.
"Like I've always done I refused that until I've spoken to Roberto myself and talked things through
Martinez is best known for being part of the Spanish contingent that helped Wigan to the division three title before moving to Swansea, Captaining them to League two promotion in 2006.
Whilst Martinez's success at Swansea has made him one of British Footballs up and coming managers, he is hardly the big name that most Celtic fans would expect.
Hmmm.
Yours in Celtic
Clydebuilt.