Brighton meet Barnsley at Oakwell on Tuesday night in the Cup.
And Hurzeler said, "Winning a trophy? For sure. It's what the fans are dreaming of and the club dreams of so therefore we need to give everything for our supporters.
"We know it will be tough on Tuesday and we will need some luck but I think we are in good shape."
On the Tykes, Hurzeler continued: "They play good football, they have good players, so we have to be prepared. We want to go to the next round but we will need the performance to be on the highest level.
"It's a do or die game. It's a 50-50 game. We have to really take it seriously because Barnsley have played a really good season so far."
He added, "Of course there might be some changes, but I won't give just chances to players. The players who will play at Tuesday will deserve to play because they work hard in training.
"We have to see how many players come away with some issues from Saturday, how sharp they look in training before the game and then we have to make a decision on the squad."