Conte was dismissed just four weeks before the start of the season despite winning the Premier League in his debut campaign and the FA Cup last season.
However, the Italian paid for fallouts with a number of senior players and failing to qualify for the Champions League when he was finally dismissed after months of speculation over his future.
Willian was also linked with a move away from Stamford Bridge with Chelsea rejecting a bid from Barcelona over the summer.
But he looks set to stay in London with the transfer deadline for Premier League clubs now having passed, meaning the Blues are unlikely to entertain any further bids from foreign clubs.
“No chance. No,” the Brazilian told ESPN when asked if he would still be at the club had Conte remained in charge after Saturday’s 3-0 win over Huddersfield on Sarri’s Premier League debut.
“I’m here because I want to play for Chelsea. I will only leave if Chelsea want me to go.”
Sarri has warned it will take time to master the brand of free-flowing attacking football he implemented at Napoli.
But his desire to play on the front foot has already endeared him to Willian after two seasons under Conte’s rigorous tactical approach that prioritised making Chelsea hard to beat.
That approach was rarely successful against Arsenal, who Chelsea host at Stamford Bridge on Saturday. Conte won just one of eight meetings against their London rivals, but Willian expects a different outcome thanks to Sarri’s approach.
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