The 31-year-old Brazilian has been repeatedly linked with a move away from the Spanish giants after failing to make an impact since joining from AC Milan in 2009.
However, he is now eager to speak with new Madrid coach Carlo Ancelotti about his future.
"My intention is to continue at Real Madrid," Marca quotes Kaka as saying.
"I still have a contract with Real Madrid. There is a new coach and once we're back at training we will meet and exchange ideas."
Kaka scored four goals in 25 games for Madrid last season.