The 22-year-old was Cardiff's top Premier League goalscorer in 2013/14 after finding the target seven times.
Those efforts were, however, not enough to keep the club in the top flight.
Having slipped back into the Sky Bet Championship, it has been speculated that Mutch could be among those reluctantly offloaded by Cardiff this summer.
Sunderland are said to be leading the chase for his services, with an offer already on the table.
Cardiff have rubbished those rumours, though, and say they are prepared to do all they can to ensure that Mutch remains on their books for the foreseeable future.
Chairman Mehmet Dalman said in quotes carried by Wales Online: "We have not received any bids for Jordon and he is in our manager's plans for next season.
"Jordon is a Cardiff City player and that will not change."