Hazard has been linked with a move to Real Madrid over the past few months.
Hazard has made no secret either of his desire to win the Ballon d'Or, the annual prize for the best player in the game, or wanting to play for Real Madrid.
Chelsea and Hazard have a tough weekend ahead as Manchester United travel to Stamford Bridge on Saturday.
"Every Chelsea fan in London and around the world loves Eden Hazard", Buck said at a Financial Times Future of Football event in Doha, Qatar, according to the Metro.
'Of course Eden for us he is a fantastic player, ' Sarri said.
And the Belgium worldwide, who has won the Premier League twice with Chelsea, is even contemplating the possibility of staying at Stamford Bridge for the remainder of his career.
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"But I think also that he can win everything, possibly a Ballon d'Or, here, without playing in Spain", he said. 'I don't think so.
"It will be very important for us if he will remain with us, it will be very important". I don't think so.in the last three months he has been very happy, so I don't think so'.
"Whatever happens in the future, I will be happy".
Chelsea FC were 3-0 winners against Southampton in their last Premier League game before the global break after Hazard scored his seventh goal in eight top flight outings.
Hazard joined Chelsea from Lille in June 2012 and signed his current contract in February 2015.
Hazard made several comments about a transfer switch to Spain during the worldwide break, but also insisted he would not force his way out of the club.