Anderson has set his sights on a long stay at the club and hopes to match the impressive trophy haul of his fellow midfielders.
The 22-year-old has struggled to impose himself on the English game since joining the club in 2007 but signed a new four-and-a-half year contract in December. He has started 13 games for United so far this season.
He told United Review: "I want to make history here. I look at players like Ryan Giggs and Paul Scholes and I want to do what they have done.
"I want to remain here until just before the end of my career. Then I hope to return to Brazil and finish my career with Gremio."
Anderson also delivered his verdict on England's dismal World Cup campaign in South Africa, claiming the reason they failed so miserably was because they "run around too much".
Fabio Capello's side were emphatically dumped out of the competition in the second round by Germany, and only won one match in their entire campaign.
Brazil reached the quarter-finals before being knocked out by Netherlands, but Anderson thinks it is England's approach - defined by the style in the Premier League - that cost them dear.
He said: "Fitness is a priority but it is more important to make the ball do the work. You don't need to run all over the pitch. It is much better to pass the ball well from one point to another.
"It can move faster than you can, so you should keep football simple and pass the ball as much as possible. In England, sometimes people think you aren't very good if you don't run around a lot.
"But I think that is one of the reasons why England don't do very well at World Cup finals. They run around too much."