The Red Devils booked their place in the last 16 with a 2-0 win over Steaua Bucharest on Thursday (30.01.25) and thinks that success in Europe's second-tier competition is a realistic ambition for his side.
Amorim said: "I don't see a big difference in the way we play, but today we had more time to think and now you can see some movements, the idea is there because we have more time to play and understand the game.
"I think we can go game by game and we can win it. Then you have the responsibility, no matter the context, you are in Manchester United so you must fight for winning trophies.
"When you get to this stage of any competition, anything is possible and they can prove they can win against anybody."
United avoided the need for a two-legged play-off to reach the last 16 and Amorim is hoping to utilise the additional time his team will have on the training ground.
The Portuguese coach said: "That is really important for us, to have time to train, create connection between everyone, the staff, everyone there in training, go to the pitch, know each other in the right environment.
"Then we have one week to prepare a game, the beginning of the week you can work your idea and then have time to prepare the game and focus on the opponent. I can understand better my players."
Amorim tempered expectations after the game by highlighting that United's Romanian opposition aren't at the level of teams in the Premier League.
He told TNT Sports: "I think we controlled the game very well, we had more possession.
"Of course, we have to understand the opponent is not, with all due respect, the same level as the Premier League."