The former SC Caen midfielder had been in negotiations with OM for several months before the Foxes' intervention.
Kante told Le Parisen: "People can think what they want. In the chat with coach Claudio Ranieri, I felt there was something we could do.
"I visited the facilities, I saw that it was of the highest level. Today it is going very well. I am very happy.
"Last summer, I was in contact with OM. I talked with the leaders. Today I think I made the right choice."