The centre-back has confirmed he will be staying at the Bernabeu next season and is not angling for a move away.
Manchester United boss Ole Gunnar Solskjaer is looking to bolster his defence with Varane linked in recent weeks.
But the France international insists he is staying at Real Madrid under Zinedine Zidane next season.
“I am going to remain [at Real Madrid] next season as I’m sure that we’re going to respond in a strong manner,” Varane told Marca.
“[This season] we fought and tried hard, but we can’t blame anything as it’s true that we missed that spark in difficult moments, and I haven’t been at my best level but we are going to see the best Varane again.
“We have to evolve and Zidane knows that.
“We have to re-build and change things as we look to restart a new cycle.”
Varane’s decision means Solskjaer will have to turn his attention to other transfer targets.
Napoli defender Kalidou Koulibaly and Tottenham centre-back Toby Alderweireld have both been linked with a switch to Old Trafford.
Real Madrid endured a miserable season but Varane clearly believes staying at the club is his best option.
Los Blancos were dumped out of the Champions League by Ajax and finished a massive 19 points behind Barcelona in La Liga.
Real are expected to splash the cash as a result.
Chelsea forward Eden Hazard is widely believed to have agreed a deal with Zidane’s side.
And Real Madrid fans can expect their club to be busy in the summer window much like United.
The Red Devils will overhaul their squad after they could only finish sixth in the Premier League.
It could be a problem for United to lure the highest quality players though as they cannot offer Champions League football.