Anderson enjoyed performing in front of over 75,000 supporters at Old Trafford.
"It was amazing, not just for me but for my family as well," he told manutd.com. "As a young boy it was always my dream to play for a big European club.
"I was lucky enough to do it with Porto and now I am at United. I feel proud to be here and I want to do my best."
However, Anderson took his time before making the switch to the Premier League.
He said: "I heard about United some time ago through my agent but we thought it would be better for me to wait a little bit longer.
"I was doing well at Porto and knew that joining a club like United would bring its own pressure.
"But when they expressed an interest in me again in the summer I felt it was the right time."
Anderson was given an insight into United from Portugal winger Cristiano Ronaldo and liked what he heard.
"He told me about the club and what a great place it is, " Anderson added. "Joining United is a dream come true for any footballer in the world."