The Spaniard, who is set to leave Stamford Bridge after five season, spoke to Chelsea’s club website about Hudson-Odoi’s talent after the Blues beat Nottingham Forest 2-0 yesterday.
Fabregas said: “He has got everything to make it in world football.I have told him that if he does not really make it at the very top I will be disappointed because he is one of these talents you can see can be fantastic.
“He can be world class, so he just needs to keep his feet on the ground, keep working hard.
“He is a humble boy, he really loves playing football and hopefully he can really make it very soon.”
Hudson-Odoi has attracted the attention of Bundesliga champions Bayern Munich as they have twice bid for the 18-year-old.
While Fabregas looks set to link up with former Arsenal teammate Thierry Henry, as the AS Monaco manager has targeted the Spanish midfielder.
After Chelsea’s 2-0 win, Fabregas seemed to give an emotional goodbye to the Stamford Bridge crowd, as he reflected on his 15 year career.
Fabregas said: “It feels like it was last week I started playing professionally and now it is over 15 years.
“It is a long time but for the young players when they start playing, my little advice is to enjoy it every single second because it goes so fast.
“In football you have to be ready every three days, you have to live with criticism, you have to live with everyone saying how good you are – up and downs – and you just think I am young, I have time but time really does fly, so enjoy every single second of it.”
Fabregas, who joined Arsenal in 2003 and left for Barcelona in 2011, spoke about his desire to continue playing for ‘long time yet’.
The World Cup winner believes his passing style of play will allow him to have a lengthier career, opposed to someone who relies heavily on speed and physicality.
He added: “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.
“Physicality goes away from all of us unfortunately when you get older, you lose speed, you lose some sharpness.
“But technique I think is something that always stays with you when you have something, so hopefully it can stay with me for a very long time yet.”
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