The former owner has been offered the chance to remain involved with the club when the new majority shareholder takes over in November
After 18 years at the Nerazzurri helm, the 68-year-old sold a majority share of the club last week to International Sports Capital, an Indonesian company run by billionaire Erick Thohir.
But despite a lengthy spell with the club, Moratti is unsure as to whether or not he will accept the offer.
“They were very courteous to ask me if I would like to step in as president,” he told InterChannel.
“We will see if it would be beneficial for Inter or if it would be better for the club to change under the guidance of new ownership.
“Having been used to a certain role, it’s difficult to assume another one.”
International Sports Capital will become just the second foreign majority owners of a Serie A club, after Roma were bought by a Boston-based American team of investors that includes Thomas DiBenedetto, a part owner of the Boston Red Sox.
Moratti has kept a 30 per cent stake of the club, and feels they are heading in the right direction under new ownership.
“While it is true the new owners have not experienced 50 years of [Inter’s] history, but when you become president, you become a fan very fast.
“Thohir is a nice, simple and happy person. He is ambitious and hard working. He has group behind him that can give a lot.
“It was difficult to find an Italian partner because no-one came up with an offer, but a bonus of selling the club to foreigners is we will increase the number of Inter fans.”