Gilardino joined Parma from AC Milan for around £18million in 2005.
He told Gazzetta dello Sport: “The situation is simple. I am happy at Milan, but I cannot guarantee I will stay here.
“I have a long contract and an excellent rapport with the Rossoneri environment, but anything can happen in football and I am evaluating other options. I would not be honest if I denied that.
“For me the faith of the club and the Coach are indispensable. In the past I had that and would like for it to be there in the future.”