Willian was also linked with a move away from Stamford Bridge, but Chelsea rebuffed offers from Barcelona earlier in the transfer window and the appointment of Maurizio Sarri to replace Antonio Conte as manager appears to have eased any desire to leave from the winger.
After Chelsea's FA Cup final win in Conte's final game in charge, Willian, who had been left on the bench, posted a picture on Instagram with the Italian blocked out by three trophy emojis in a picture of the whole team celebrating.
"I always made it clear that what I wanted was to stay in the club.
"The only club I knew that really made an official offer for me was Barcelona.
"But I have my head here and I intend to continue in the club unless the club wants to sell me. But my head is here in the club."
Willian's compatriot and team-mate David Luiz has urged Belgian duo Courtois and Hazard to also stay put after starring for their country at the World Cup.
Courtois, 26, has a year remaining on his contract and has been repeatedly linked with a move to Real Madrid. Chelsea risk losing him for a reduced fee in January or for free next summer.
The former Atletico Madrid stopper has repeatedly stated his desire to move closer to his two children in the Spanish capital.
Hazard, whose deal expires in 2020, has stalled over a new contract offer and has long been the subject of speculation over a move to Real.
"Chelsea wants for the best players to stay," said Luiz.
"They know Chelsea a lot, so they know what they've had here, the fun they've had here. Everybody loves them and I hope they can stay."
Sarri said he would sanction Courtois' departure if the goalkeeper expresses a desire to leave following Sunday's Community Shield defeat to Manchester City.
"I want them to stay, because we have top players with the confidence," Luiz said.
"If they decide to leave, I think we will continue with fantastic players."
Luiz himself was sidelined by injury and a fallout with Conte for most of last season.
But after starting on Sunday, Luis insists he never contemplated leaving Chelsea for a second time and is now keen to show he can be a key figure for Sarri.
"I was just working and trying to do my best," Luiz added.
"Everybody has the opportunity, you just have to show him character, physical quality, technical quality, so since the first day I'm trying to do that."
The 59-year-old Italian's style has been likened to Pep Guardiola's.
But while City gave the Catalan time to adjust in his first season in England, there is precious little time for Sarri.
"I hope we can understand it quickly and can fight for all the titles," Luiz said.
"When you play for a big club you have to be ready to try to fight for the titles, and we're going to fight for that.
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