The defender has blossomed into one of the best young defenders in Europe since joining the club in 2011 and is aiming to become a key player under Carlo Ancelotti
The France international joined los Blancos from Lens as an 18-year-old back in 2011 and broke into the first team last season under Jose Mourinho.
His performances saw him recognised at international level and earn a reputation as one of Europe's finest young defenders and Varane remains convinced his decision to move to Spain was the right one.
He told reporters: "I think I felt ready and I really wanted to go to Real Madrid. Some are ready and others aren't. I thought about it carefully and I made the right decision.
“I took me a year to adapt. Last season went really well. I played a lot. Everything is going well. It’s a matter of maturity, to be ready regardless of age. There are some things you gain with experience, but age isn’t important to me.
"I’m very confident because I play for an important club. I’m selected for France regularly and I’m only 20. I am very confident."
A knee injury saw Varane, now 20, miss the early months of this season but he is targeting a regular starting slot and continued self improvement between now and the end of this term.
"I hope to meet expectations," he added. "To achieve this, I need to keep working hard and hopefully things will go my way.
“Unfortunately, injuries are part of the game and you have to adapt, keep faith, trust and never give up. There were some moments which are harder than others, but that’s normal.
"I think when you’re 20, you just want to play. Clearly it’s not easy, but it’s normal. I can’t rest on my laurels, I want to keep moving forward and evolving as a player.”