As reported by French newspaper Le 10 Sport, the France international admitted he's loving life at Real Madrid and has no desire to change clubs.
Chelsea boss Jose Mourinho introduced Varane to the Madrid first-team during his time at the Bernabeu.
And Mourinho has been linked with a bid to bring the highly rated 20-year-old defender to Stamford Bridge as a long-term replacement for club captain John Terry.
The 33-year-old Chelsea star is currently enjoying a successful run in the first-team, but Mourinho is clearly looking towards the future.
He snapped up talented French youth international Kurt Zouma in the January transfer window, and has set about signing several of Europe's top young players since he returned to the club.
Varane would fit that mould, but the Real Madrid star insists he's happy in Spain.
"At 18 I was ready to play in Madrid," said Varane. "It took a year, to get used to the pace and get used to the club. Last season, everything was fine. Now it's even better. It's great to be considered part of the future of Real and France.
"But to get there I must continue to work hard and hope that things always turn out well for me."
Varane has a €30m release clause in his Real Madrid contract which runs until the summer of 2017.