Inzaghi, 38, is unsure of whether to play on or accept a coaching role in Milan's youth sector.
"It is a hard decision to make," he told Sky Sport Italia.
"On one side Milan have offered me the bench of the Allievi Nazionali side. I thank them and it would be great.
"However, passion still gets the better of me, I'm in good shape and I would like to continue playing football.
"I've received a variety of offers from abroad, but especially from Italy. It is only right that I think about it. If no offers had arrived then my decision would have been easy."