Lindelof joined Man United from Portuguese giants Benfica in this summer's transfer window, and the centre-back made his debut for the Red Devils during their 5-2 win over Los Angeles Galaxy at the StubHub Center.
The 22-year-old has also revealed that he enjoyed the challenge of operating in a three-man defence as Jose Mourinho selected a 3-5-2 formation against the MLS outfit.
"It felt very good, I am very happy to have made my debut for this great club," Lindelof told MUTV. "We won as well so I am very happy. It felt good, it is the first game so it is a bit different. I am not used to playing with three at the back, but it felt good in a way and I am very happy.
"It is the first game and I am really looking forward to playing more games. It felt good. I like to play games, I like to train as well, but the games are more fun so I prefer the games."
Man United, who have also brought in Romelu Lukaku this summer, will continue their preparations for the new campaign with a clash against Real Salt Lake at the Rio Tinto Stadium on Monday night.