He says that he is the team's "most important asset."
The 28-year-old has been the subject of speculation after saying that he missed English football, especially after Manchester United moved to bring Ronaldo back to Old Trafford after selling him to Real Madrid in 2009.
But Ronaldo says he is happy playing in Spain, and has no plans to leave Real.
"I enjoy of course to play there [Real Madrid], I play there for four years so I want to continue there," Ronaldo said.
"It is not the best day to speak about my future. I am going to have time to speak about that at the beginning of pre-season."
Ronaldo has two years left on his contract, and the team has tried to quell speculation by regularly announcing new contracts with the player.
It is unlikely Ronaldo would want to return to United now, as many of his former teammates and coaches have left the club since his departure. He has also reportedly ruled out a return to the Premier League.
Real president Florentino Perez said last month that he is confident Ronaldo will sign a new contract.
"He's our most important asset, and we will build the future of Madrid around him," Perez said.
"Soon we will clarify this issue. I have no doubt that Cristiano is going to retire at Real Madrid. I'm convinced that he'll renew. The renewals are done before the season starts."