Fabregas now joins his former Arsenal team-mate Thierry Henry in a relegation battle in Ligue 1, as Monaco look to his experience to aide their young squad.
The 18-year-old Wales worldwide played his tenth game for the Blues in their comfortable 2-0 FA Cup third round victory over Nottingham Forest on Saturday, something that earned the Grecians £250,000 as part of Ampadu's move to Stamford Bridge.
An emotional Cesc Fabregas appeared to wave goodbye to the Chelsea supporters during their FA Cup victory, and the Spaniard has now broken his silence.
"To you and your wonderful family, thank you for helping us in every way possible".
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United will now move on to much tougher challenges, starting with the Premier League visit to Tottenham a week on Sunday.
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"It's always hard to lose players, especially like him, because, like I say, he's a world-class player but also I understand it's part of the process, and if it's better for him and better for the club, we have to understand that", said Luiz.
The Chelsea fans are surely upset that one of their legends would be leaving the club but according to former Liverpool man John Barnes, Cesc Fabregas means more to Arsenal than to Chelsea. "Many of his characteristics will help him in England where everything is just little bit more intense than in the Bundesliga".
"It is always something that I have had, and it feels like growing up and getting older, it is one of those things that really does never go away because it is technique", he told Chelsea's website. "We are very sorry for him".
For Chelsea, Morata has nine goals in 24 games this season and there is no denying that he could be better.
He said: "When you play Premier League teams it makes you want to come back next season".