United are prepared to cut their losses by seeking £15m for the transfer of the 24-year-old, who made just 10 appearances in the Premier League last season.
Anderson arrived from Porto in a deal worth €30 million (£25.6m) in 2007 at the same time as Nani but while the winger has gone on to become a key figure at Old Trafford, the Brazilian playmaker has not progressed as hoped.
Contact has already been established with the Italian giants through a third party, with the Rossoneri having identified Anderson as a potential replacement for in-demand midfielder Kevin-Prince Boateng.
"Anderson has not kicked on as the club hoped," a source told Goal.com "With Inter and AC interested, United would certainly be willing to let him go - for the right price."
Injuries have frequently thwarted Anderson's progress, who has never topped the 24 league appearances he made during his debut campaign under Sir Alex Ferguson. He missed a large portion of the 2009-10 season and the 2010 World Cup after rupturing the cruciate ligament in his left knee.
He last represented his country at the 2008 Summer Olympics in Beijing, where Brazil Under-23's side secured a bronze medal.
