The 68-year-old had grand plans for the veteran prior to selling his majority stake in the club but feels that he will still play a key role at San Siro when he eventually retires
The 68-year-old sold a 70 per cent stake in the Nerazzurri to Erick Thohir last year, with the Indonesian businessman ending Moratti's 18-year presidential reign when he was elected in November.
"With me, Zanetti knew for sure that he could even have become president," Moratti told Telelombardia of the long-serving defender.
"Because I might have thought about naming as president someone who knows everything, someone who represents Inter, who's respected and who has the right image and who could perhaps give interviews instead of me in the morning!
"There's been a change for him now, there's a new person who obviously couldn't know him as well but I think he's sounded things out, also because Thohir is smart.
"Zanetti will stay at Inter and he'll definitely have a position which, in my view, must be an operative role and not just a representative one.
"He's the sort of person who knows how to manage situations, just as he's managed his personal life well with the PUPI Foundation and other things that are very important.
"He's managed his family life extremely well, his investments, his life at Inter. I think he'll definitely be an excellent director and that's what they'll get him to do."
Zanetti, 40, has made nine Serie A appearances for Inter this season.