The 21-year-old put in a tidy display in the heart of midfield against England's record champions, but it was not enough as Juan Mata's penalty and Chris Smalling's winner turned the game on its head after Daniel Caligiuri's fourth-minute opener.
Afterwards, Arnold discussed his side's morale-boosting performance, the atmosphere in English stadiums and Wolfsburg's weekend clash in Mönchengladbach...
Question: Maximilian Arnold, there was a general impression after the game that United's victory was deserved, but at the same time it also seemed as if Wolfsburg could definitely have taken something?
Maximilian Arnold: If you look at the second half, then that's certainly fair to say. In the first half, the early goal played into our hands because United had to come and attack us. They put a lot of pressure on, which you could see. Unfortunately we conceded a silly penalty, although I'm not blaming Daniel [Caliguiri], who did brilliantly for the opening goal. We then had a few chances which we failed to take, before dominating United in the second period.
Question: The second goal was perhaps unfortunate from a Wolfsburg point of view. Juan Mata put the ball over the top with a back-heel and it basically fell at Chris Smalling's feet. What did you make of that passage of play?
Arnold: There was certainly a lot of luck involved. The ball could quite easily have rebounded elsewhere and when you concede like that it's pretty tough to take. Having said that, we were asleep for the goal.
Question: Old Trafford is one of Europe's most famous stadiums. Did you enjoy the atmosphere?
Arnold: Actually, the atmosphere in England is a bit different. In Germany the fans sing more and I think that the atmosphere is better. The fans sing throughout the 90 minutes, which I prefer.
Question: Could you feel the stadium's history when you were out on the pitch?
Arnold: It's always special when the Champions League anthem plays. The problem, though, was that it wasn't the right result for us.
Question: You linked very well with Josuha Guilavogui in midfield but there were a couple of times when United did manage to start putting the pressure on…
Arnold: Well, you can’t stop everything against United: they're a good side, but I think we worked well together in midfield. If we had made the most of one or two counter-attacks then we would have taken the pressure off a little bit more. The second half showed what we were capable of.
Question: What positives can you take from the game? You're facing Borussia Mönchengladbach in the Bundesliga on Saturday, who themselves suffered a narrow 2-1 defeat…
Arnold: We defended well in the first half, but obviously you can't stop everything. We then dominated the second half but should really have taken something, but the performance will give us a bit of a boost for Saturday's trip to Gladbach.
Alexander Barklage reporting from Manchester.