Hull need to cut their costs after crashing into the Championship and the 28-year-old is regarded as their top asset.
Hunt said: “I presume the club will want to sell me in terms of the overall financial structure.
“If we had stayed up I’d have been happy to remain at Hull but we’re not in the Premier League now and they may need to sell me.
“If I do move on, it will be with a clear conscience, and I can be honest about that. In January we had an agreement that they would sell me due to the financial situation that would arise from relegation.
“The chairman has been very good to me. He said once I gave my all for Hull he’d have no problem in honouring that agreement for me to go. I have done that, I have done well for Hull.
“Unfortunately, I haven’t delivered as much as I’d like because we’ve been relegated.
“The club say they will be willing to sell me at a reduction of the price they’d have got for me in January. I’ve no idea what that reduction will be and if a club will come up with the money.
“All I can do is concentrate on getting fit and see what happens.”
Hunt’s contract with Hull is set to expire in the summer of 2013.
