The Italian great is currently out of football since quitting a desk job with the Giallorossi at the end of last season.
Gravina told Le Repubblica: "Totti? I spoke with him three times. My intention is to include him in the training of young people.
"But he must study to be a director."
Gravina also stated two Juventus players were in his plans.
He added: "I heard from (Gigi) Buffon, I see him as a great coach in the future. And then I think of (Giorgio) Chiellini."