The 25-year-old, surprisingly named in Jose Mourinho's starting lineup on Friday evening, scored an early penalty for the Red Devils as they kicked off their Premier League campaign with a narrow victory.
Pogba only returned to training earlier this week, having starred for France in their triumphant World Cup campaign, but the captain for the night was happy to play a part and now hopes to add more silverware to his collection.
"We should start the Premier League with a win and we did," he told Sky Sports News. "I didn't have any pre-season games; I came back on Monday so it was very hard for the legs. The performance was OK, but we want to go up.
"Winning the World Cup is in the past. I like challenges, I want to progress and win more trophies. The World Cup will stay in my mind, but I want to win all the trophies. I haven't won the Premier League, I haven't won the Champions League, I haven't won the European Championships so there are more to win."