The 26-year-old, who has won the Champions League, Europa League and FA Cup with Chelsea, has been touted as a possible replacement for Sami Khedira - whose future at the Santiago Bernabeu is in doubt after falling down the pecking order.
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"I see the interest of Real Madrid as a recognition of my good work in Europe, but I'm under contract with Chelsea and it would be unethical for me to comment," he told Sambafoot.com.
"For the moment, these are only rumours. I am very happy here. I am respected and part of the club's history. If I leave, Chelsea would have to make the decision. Chelsea is one of the biggest clubs in the world. I have realised my dream here.
"My goals are never personal, but collective. I want to continue to play football and help my team win titles. Collective success makes me stronger individually.
"Mourinho is a very decent coach. He is doing an excellent job. He manages to motivate his players and offers a chance to everyone. I have evolved since his arrival. I hope to continue to help and doing what he expects of me."
Ramires found himself at the centre of a media spotlight on Saturday when he won a 94th-minute penalty to earn Chelsea a 2-2 draw with West Brom at Stamford Bridge.
The point, along with Arsenal's loss to Manchester United, saw the Blues close the gap between themselves and the table-toppers to four points and the Brazilian feels the squad are yet to hit top gear.
He continued: "The Premier League is one of the toughest competitions in the world, but we have the means to win.
"Our team is very strong and we can win it all this season. Winning the Champions League was one of the greatest moments of my career. I think the only title that can compete with that is the World Cup in Brazil."