The Premier League champions had been chasing the 26-year-old Spain international for much of the transfer window with the former Arsenal man rumoured to be unhappy over a lack of guaranteed first-team football.
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|9/2||Cesc Fabregas is 9/2 with Coral to open the scoring in the Supercopa
"I have never said that I could go, nor have I talked to the president or the coach about it," Fabregas told Spanish TV station TVE.
"What I don't know is how this can be said to be true just because some journalist wrote it on Twitter.
"My dream is to stay here and succeed.
"I have a great desire to achieve even more and I am committed to this club and proud to be here."