Initial negotiations over an extension have been carried out with Kante and he wants a three-year extension commitment from Chelsea, whose previous regime was notoriously worried about awarding an aging player long contracts.
I do not think Chelsea will budge, they usually do not give players above thirty anything more than a year or two contract extension, and i don't think Kante's case will be different, but then there is a new management in charge like you said and we would see how they handle this situation, Kante has served the club very well since his move from Leicester, and a three-year extension might be no more than what he deserves. Having said that, i am pretty sure various other clubs will be monitoring this situation right now, and if there is a breakdown in negotiations, some of them will not fail to offer Kante a contract he might not be able to say no to.