The 49-year-old coach says that the Madrid playmaker must train with his club team-mates next summer in order to prove during 2012-13 that he can play at the World Cup
The 29-year-old was one of the high-profile players who failed the make the 52-man list announced earlier in the month, a decision which has earned the coach much criticism.
Kaka has been in excellent form for Madrid in recent weeks, and Menezes says that the former AC Milan star needs to make the pre-season with Madrid in order to avoid new injuries and to be eligible for the World Cup.
"I think that Kaka can play a big role at the World Cup in 2014," Menezes told Arena SporTV. "I think that in order for than to happen, the next season will be very important.
"2012-13 will say if he can play one more World Cup. And for this to happen, the pre-season will be crucial for him. And it happens that the Olympic Games take place exactly during pre-season in Europe.
"If I believe that he can be at the World Cup and that next season will be crucial, then I have to let him do what he needs to do."
The 49-year-old coach then said that Robinho has been left out of his squad for London 2012 as a result of the team's disappointing campaign in Copa America.
"He had been a regular under Dunga and also under me," Menezes explained. "And when you do not win a tournament like Copa America, players are held accountable for that.
"I thought that the best thing would be to give him a time off from the national team. Because as one of the team's biggest players, you have more responsibility."
However, Menezes stressed that the Milan attacker is still in his plans, saying: "I believe we can still count on him, because he is an experienced player in a group of players which is very young."