Chelsea legend Gianfranco Zola is expected to be Sarri's right-hand man at the club but according to Sky Italia, as cited in a report from Calciomercato, the Blues had approached Martusciello to gauge his interest in joining the club.
Sarri, 59, led Napoli to two second-place and one third-place finish in three seasons in charge.
Conte produced a record 30 Premier League wins during his maiden season, which has since been thwarted by Manchester City's 32 victories last season, while he now boasts Chelsea's longest consecutive league wins with 13.
Chelsea are also closing in on their first major summer signing of the transfer window, with Napoli midfielder Jorginho set to follow his former manager to the Premier League club.
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A helicopter flew the four boys to the nearby city of Chiang Rai , where they were taken by ambulance to the hospital . They eventually found a dry landing spot, where they waited for nine days before being found by two British divers.
Carlo Ancelotti replaced Sarri as Napoli coach following the end of the season, with a Chelsea move having been on the cards since Conte's relationship with the club's senior management turned sour in 2017-18.
Chelsea made an official announcement in which the club statement which read, "Joao Rodriguez will spend the coming season on loan in Spain". It is likely that Conte himself will now take a short break from football while considering his future.
Napoli are also expecting compensation of around £4.5million for Sarri, who is under contract even though he is no longer their coach. Negotiations for the highly-rated manager's payoff have accelerated over the last 48 hours and are nearly completed.
Chelsea will try to convince Hazard that the appointment of Sarri, together with a number of new signings including Jorginho, Daniele Rugani and Aleksandr Golovin can help the club challenge for the top titles again.