Conte has left Stamford Bridge after two years at the club, although Chelsea are refusing to comment on reports he is no longer in charge.
The Italian led the west London club to Premier League title glory in a successful first season at the helm but his second campaign proved far less harmonious and although they lifted the FA Cup in the spring, they could only finish fifth in the Premier League.
Conte is now understood to have left his post with 12 months remaining on his contract, with Maurizio Sarri set to take over from his Italian compatriot at Chelsea.
Napoli president Aurelio De Laurentiis announced on Wednesday that “Sarri is close to being new Chelsea manager. My lawyers are in talks with his lawyers to finalise everything.”
Former Chelsea captain John Terry has also posted a message on his Instagram account, saying: “Great man, Great manager. I wish you every success in the future.”
Chelsea are yet to make a move in the summer transfer market, with uncertainty over their management team delaying their dealings.