The Brazilian, who will spend the rest of the season in Florence, is pleased with the opportunity he has been given in Italy and hopes he can stay "for a long time"
The Brazilian agreed a short-term stay with the Serie A outfit during the January transfer window but has already made three appearances for the Viola.
Given the 25-year-old midfielder struggled for a lack of game time under United boss David Moyes, Anderson feels the move to Italy is exactly what he needs to reignite his career.
"I have to play and have my chance," the former Porto man told The Sun.
"It is better for me at Fiorentina. The manager [Vincenzo Montella] wants me and has shown his trust. I can show him my football.
"Even though the contract is only on loan, I want to stay for a long time."
Despite rarely being selected by Moyes, Anderson insists he holds no ill feelings towards the Scot, before going on to hail the ambition of his new club.
"To be honest, I've not had the chance [to play]," he said. "He gave me one chance or a half, but not a lot.
"He is the manager and I have to respect him. He treated me well and he has a lot of players.
"But Fiorentina are a great team with an ambitious project. I want to win in Florence like important players of the past like Edmundo and (Gabriel) Batistuta.
"Everyone knows Fiorentina can progress a lot in Italy and in European competition."