The Brazilian midfielder has been linked with a move to the MLS outfit but insists that he will stay with Real Madrid at least until the summer, when "we will find a solution"
The MLS side supposedly see the Brazil international as the ideal replacement for David Beckham following the Englishman's departure but the former AC Milan hero is keen to remain at his current club.
"There's nothing going on with LA Galaxy or the MLS at the moment. We'll see what Real Madrid have in mind," Kaka was quoted as saying by AS.
"I have always said I would be delighted to stay here. I'm fine and I have a contract to 2015.
"I hope to know the club's decision and its position shortly. In the summer we will find a solution. I will continue to train and do what I do."
Kaka featured from the start in Real Madrid's 4-1 Champions League win over Ajax on Tuesday and netted once from outside the 18-yard box to help his side to a comfortable home victory.