The 27-year-old is a free agent after his contract at Stade de Reims expired at the end of last season.
Kermorgant has been encouraged by discussions with the Foxes and insists that other teams are also chasing his signature.
He told skysports.com: "Leicester are one of the clubs who want me. I am delighted with the talks so far.
"There is also other interest. I am training with Vannes at the moment to keep fit and ensure I am ready to go."