In the past, the 27-year-old has stated that he prefers to play on the wing, but under new Blues boss Sarri, Hazard has played both as a winger and as a "false nine".
Hazard has repeatedly been linked with a move away from Stamford Bridge in recent months.
Attack: Pedro has been ruled out for ten days with a hamstring injury that he picked up against Watford in midweek while Callum Hudson-Odoi has also been ruled out of Chelsea's trip to Palace. "The club can decide for him".
The Belgian is out of contract in the summer of 2020 and he has previously stated his desire to play for Real Madrid.
"Sarri told me before the season started that playing as a number nine could be an option", Hazard told Chelsea's official club website.
Sarri, however, warned that losing Fabregas during the season would complicate his job.
"Pedro has an injury in his hamstring and he will have to rest I think for 10 days". I want to speak to him only about the position on the pitch.
"I'm happy because he helped us to win and happy he has scored 101 goals for Chelsea, so I hope there's more to come from him. If Cesc will go then I think we need to buy another player, and it's not easy because technically Cesc is a very important player, and it's very hard to find in the market a player with these characteristics". You have to manage 25/28 players. That's why I find it very hard and anyway it's a story that very much comes out of the blue, no one at the club has any idea where this story has come from so I find it hard to understand from that perspective. For a player of 31 it's a big problem to sign a new contract for only one year.