The 31-year-old has since been linked with a January move to French side, Monaco, with reports in the United Kingdom suggesting that a deal could be completed next week.
Ross Barkley, who played alongside Fabregas in midfield as Alvaro Morata's second-half goals ensured Chelsea's passage to the fourth round, paid tribute to his team-mate. Monaco, as Naija News understands, could be Fabregas' new destination.
Morata finally had the ball in the net after half time, slamming from close range after fine work on the right from Hudson-Odoi.
Chelsea striker Alvaro Morata feels he has been shown a lack of respect by the club and refused to celebrate his goals against Nottingham Forest to make his feelings clear.
It is the latest blow in a frustrating campaign for Loftus-Cheek, who has started just three of the club's 21 Premier League matches.
Morata's goals knocked down Karanka's Forest.
"He's going to go down as one of best midfielders ever".
He was given a standing ovation when replaced by N'Golo Kante in the 85th minute and the Spaniard indicated in a post-match interview that reports of his imminent departure were true.
What does it mean? The former Arsenal captain helped the Stamford Bridge club win the English Premier League in his debut season.
Hudson-Odoi has been the subject of transfer speculation this week, with Bayern Munich thought to have tabled a £30 million bid for the talented teenager.
His appeals were waved away by referee Andrew Madley, but Fox did not escape in the 30th minute when he brought down Ruben Loftus-Cheek in the box.