Reports have emerged that the Italian will leave Stamford Bridge and the club have refused to comment on the 48-year-old's future.
Chelsea midfielder Cesc Fabregas has seemingly leaked the news that Antonio Conte has been sacked by the club.
Could Maurizio Sarri be heading to Chelsea?
That's not to mention the fact that Conte boasts the best win percentage (65.1%) of any Chelsea manager in the Premier League era.
On the other hand, Ancelotti, the former Chelsea coach is appointed as the head coach for Napoli.
Chelsea finished fifth in the table, five points behind Liverpool for the final Champions League spot.
Napoli president Aurelio De Laurentiis announced on Wednesday that "Sarri is close to being new Chelsea manager".
With two trophies, Conte's spell as boss will likely be considered a success. Chelsea are stepping up their pursuit of Sarri as the Premier League season kicks off on August 11, but it doesn't mean he could end up in west London.
De Laurentiis has been holding out for the £7m release clause in his former coach's contract, with lawyers continuing to work to secure the move that both Chelsea and Sarri want. The club is set for a pre-season tour of Australia which will begin on July 23 in Perth.
De Laurentiis also said that Jorginho would be waiting for Sarri, 59, should he arrive in London.
They reportedly include Brazil-born Italy global midfielder Jorginho from Napoli, CSKA Moscow's Russian playmaker Aleksandr Golovin and Italian defender Daniele Rugani from Juventus, the side that edged Napoli in the Serie A title race.