The 40-year-old has always been vocal in his support of England but his fond memories of the two years he spent at the San Siro from 1995-97 has led to a desire to manage the Italian side.
Ince told BBC Radio Five Live's Sportsweek programme: "My dream was always to manage in the Premier League. I've got the chance to do that now.
"I'm very patriotic, I love my country, I loved playing for it.
"In time to come that could be a case but there are a lot of better managers out there who are probably in front of me as far as getting the England job.
"If I was to have my dream it would probably be to go and manage Inter Milan in the future: I had two great years there and I'd love to go back there and manage.