The former Everton defender turns 38 in August and has been linked with one last season overseas in America or at QPR.
"I spoke to President Massimo Moratti, as I always do at the end of every season," he told Inter Channel.
"The Nerazzurri jersey is like a second skin for me, so to come back as a director would be wonderful.
"I have not yet evaluated offers from other clubs. It would be a shame to leave Inter and I would certainly give an adequate goodbye to the fans who have given me such a great life here.
"I don't know if I will be at Inter next season, but I haven't made any decision. The President gave me carte blanche and said I can do what I want. Our rapport is so clear that he'll be happy whatever I decide to do."