The Brazilian midfielder saw injury restrict him to just 16 appearances last season, with a serious knee problem offering cause for concern.
It was suggested that, with others having edged ahead of him in the pecking order, that United may look to move him on this summer.
Sir Alex Ferguson shelled out around £25million in tempting Anderson away from Porto in 2007, with the Red Devils prepared to spend big on a player they saw playing a leading role in their future.
The 24-year-old believes he still has plenty to offer, with there no desire on his part to look for a switch elsewhere.
Anderson told the Manchester Evening News: "For me, this season is very important. I know I have to be very focused on my football. I'll still have a laugh and a joke with my team-mates, but I know I must be really focused.
"I want to show what I can do this season, produce my best and help the team. I need to prove what I can do. I know the boss and my team-mates believe in me, I've just had bad luck.
"I want to improve as much as I can and help the team win trophies. I feel good. I had a nice holiday and I've had no problem with my leg.
"I started last season with no problems but then I started to feel my knee a bit. It's just one of those things, some players have injuries and others don't."