The Inter supremo has welcomed back the experienced midfielder with open arms following his return to the Italian top flight
The Rossoneri completed the signing of the Brazilian on a free transfer on Monday, with the 31-year-old agreeing a two-year deal with Milan.
"The decision to bring back Kaka is an excellent move by Milan," Moratti was quoted as saying on the official Inter website.
"As for sticking to tradition, it's for them to decide [whether Kaka is still of added value], so I'll pass no judgement on that.
"But I'm glad we'll see Kaka playing in Italy again."
Kaka made 193 Serie A appearances for Milan between 2003 and 2009, netting 70 goals.