The Brazilian is on loan at Fiorentina after featuring just nine times under David Moyes this season, and he has already confirmed he wants to make the switch to Florence permanent.
Bought for £25 million from Porto in 2007, Anderson has under-performed at Old Trafford and claims players are already keen to leave nine months on from Sir Alex Ferguson's retirement.
"I want to stay here [in Florence]," Anderson said. "Playing in Manchester was great. It's a prestigious club with a lot of history. I've been there seven or eight years and I'm thankful to be here, to show Fiorentina my quality and fight for a spot in the starting line-up. I thank all Manchester United fans for their love, but I'm here to stay.
"I'm sure that lots of players want out, especially people like myself and Nani, who have been in Manchester for seven or eight years. Manchester United is a huge club a club that does everything for its players but sometimes a footballer wants to leave just to experience a different way to play football, to learn something as well."
Nani, who joined the club at the same time as Anderson, has not played in nearly two months due to a hamstring injury and only signed a new five-year contract with the champions in September.
His previous deal was due to expire this summer and it was believed that had Ferguson remained in charge he would have sold the Portuguese.
Nemanja Vidić, Rio Ferdinand, Patrice Evra, Ryan Giggs, Jesse Lingard and Federico Macheda's contracts run out in five months' time and eight more, including Anderson, Wayne Rooney and Michael Carrick, are up for renewal in 2015.
United lost their eighth Premier League match of the campaign at Stoke on Saturday and are seventh in the table.