However, Conte's apparent dismissal drew a response from Chelsea's Cesc Fabregas, who liked a tweet a Chelsea fan posted about Conte having been sacked although the Spanish 2010 World Cup victor subsequently claimed he had liked it by accident.
Despite this, Fabregas has posted a message to bid farewell to Conte and thank him for time at the club - though only after he had purportedly celebrated the Italian's departure.
Conte vacated his position after two years in charge of the London club.
The Italian guided Chelsea to the Premier League title just one year ago in what was his debut season at Stamford Bridge.
Conte often vented his frustration about the club's transfer policy throughout last season and his relationship with the players had become strained, despite their FA Cup victory.
He was eventually replaced by Carlo Ancelotti on May 23 after speculation that Sarri's buyout clause would be activated by another club.
Once again Chelsea have a new manager, the 13th separate spell for a boss under Roman Abramovich, and it'll be interesting to see what Sarri can do with them. Conte took over a team that finished 10th in the Premier League as defending champions and turned them around immediately to reclaim the title in 2016/17.
Chelsea still need to reach an agreement to terminate the final year of Conte's contract, which is worth??9 million, but that increasingly appears to be a formality.
De Laurentiis, though, says that where Jorginho ends up playing next season is a separate matter to Sarri as he waits for the 26-year-old to make a decision on his future.