Chiesa has admitted his admiration for new Milan coach Max Allegri, who he worked with at Juventus.
Now with the Italy squad, Chiesa said: “That’s something to think about during the summer.
“My family, my agent and I have a great relationship with Liverpool, and the goal is to be ready for the pre-season. We’ll find the best solution for everyone.
“I work every day with a Liverpool program to be in top shape for the tests on July 8.”
I've great respect for Max
On his relationship with Allegri, Chiesa also said: “A lot has been said, but I have great respect for Max. He gave me a lot. He’s a winner and he’s a great choice for Milan.
“He made me realise I could play as a support striker, broadening my horizons. Sousa gave me my Serie A debut, Mancini took me to the peak at the Euros, but Allegri helped me grow a lot in terms of personal and football development.”
Chiesa added: “He called me in September to wish me good luck at Liverpool, it was really nice of him.”