The Serbian recently revealed he will end his eight-year stay in Manchester when his current deal expires at the end of the season.
However, Serie A giants Inter remain one of the favourites for his signature and sporting director Piero Ausilio confirmed their interest.
"Vidic is an important player whose contract expires in June. Like other European clubs, we will try to get something from this great opportunity," Piero Ausilio is quoted as saying on SkySports.com.
"He is one of the players we are tracking. He has an interesting profile for Inter, as he has charisma and international experience.
"We will probably lose some players in his role because their contracts are up, so he is someone we are trying to pay attention to.
"However, it's a long way from that to saying we've already done something with regards to Vidic and I don't feel ready to confirm that."
32-year-old Vidic is now free to talk to other clubs, however, before he makes a move he will be looking to help United's push for a Champions League spot.