Kaka believes his move to Real Madrid will help extend his playing career at the highest level.
The Brazil international has smashed the world record transfer fee on Monday after completing his €68million from Milan to the Santiago Bernabeu.
The 27-year-old, who has signed a six-year contract with Real, is not ruling out finishing his career with the Spanish outfit.
“I talked not only with my national team-mates but with many others that have played with Real Madrid,” he said.
“Recently I had David Beckham as a team-mate, who had played at Real Madrid, and he told me that it’s a fantastic club, a very good place to play and a great experience.
“For me it’s an interesting project. It’s a motivation. I’m 27-year-old and it would be an important push for me to continue maintaining my career at a high level.
“I hope I can build a solid career at Real Madrid and make history there with great achievements. And who knows, renew my contract when I’m 33 for two more years. Then I could say I could end my career there.
“The global recession has affected clubs like AC Milan. So when I understood this I was told that possibly the best way I could help the club was by accepting the transfer.
“I spoke with the Milan directors and we reached the conclusion that the best thing for everybody would be to sell.
“It’s an important project for me to continue growing in my career. I’m not going to Real Madrid for money, as I had other offers.
“But the deal was sealed a long time ago. I wanted this move to be announced sooner. For me, it’s a relief that it has been announced now.
“The president is already making contact with potential signings and is putting together a competitive team, one which will try to once again become champions in Spain and Europe,” continued Kaka.
“That’s why I chose Madrid. They have historic players there already, such as Raul and Iker Casillas.
“It will be an important challenge for me. We’re going to win many titles again.”
Kaka had the opportunity to join Manchester City earlier in the year during the January transfer window for a reported £100m but opted to stay in Italy.
“Manchester City and Real Madrid are two different clubs with different situations,” he added.
“At that time, it was mid-season, I had a strong emotional impact due to the Italian fans requesting me to stay and I decided to stay.
Kaka had been at Milan since moving from Brazilian side Sao Paolo in 2003 for €8.5m and he leaves the Rossoneri on good terms.
“I want to thank Milan, as they were the club who put me on the international scene. They gave me the opportunity to become a big name in Europe,” he stated.
“I’m happy to leave Milan by the front door, with a lot of friends. It has been very emotional to see what the Milan fans have done for me.”
A Milan statement read: “It will be very difficult to fill the void that will be left by Kaka.
“We offer him the most cordial and affectionate wishes for the continuation of his sporting career.
“He is a shining example of professionalism and commitment.
“AC Milan thank the man and the great champion Kaka for his decisive contribution to the many victories achieved in the six years of his commitment.”