The Spanish international has made just five Premier League starts this season.
The transfer window in China remains open until the end of February, and Shandong Luneng have been linked with a move for the 29-year-old.
Shandong Luneng have laughed off a move for Chelsea star Cesc Fabregas
But the Chinese Super League side have now ruled out a move for the midfielder.
"Yikes! What a super competent agent we have," reads a post on the club's official Weibo account.
"But Fabregas is not our cup of tea.
Burnley 1-1 Chelsea: 10 key statistics from the match
Sun, February 12, 2017
Express Sport brings you 10 key statistics from Chelsea's 1-1 draw with Burnley at Turf Moor
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Express Sport brings you 10 key statistics from Chelsea's 1-1 draw with Burnley
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Chelsea star Cesc Fabregas has made just five Premier League starts this season
"Please, for God's sake do not spread the fake news.
"Shandong Luneng will not buy another foreign player this season.
"Our coaching staff have already made elaborate arrangements for our foreign players.
"In the meantime, we will remain committed to producing home-grown talents for the Luneng academy. How about bringing up our own Fabregas!"