Gomez and Gross scored in the first half, while an 11th clean sheet of the season in all competitions completed an impressive afternoon for Albion. The result lifted them above Manchester City and gave them a positive finish to a demanding run of fixtures.
Asked whether supporters had plenty to be excited about, Hurzeler said: “They should always be excited if they watch our game, and that's our job to make them excited. And I always say they can dream, they can have high expectations of us, but these are things we can't control.”
Albion had returned from their UEFA Conference League fixture only on Friday lunchtime, but Hurzeler was satisfied with the preparation.
“Our control will always be how we prepare for the game, so we focus on excellence, how we get the improvements into the team because I think we played a good game, but overall, after every game, there are things we can do better,” he said.
“There are moments and phases in the game where the individual player, but also the whole team, can improve, and that's the main focus for us. It was from the beginning, and it will be also now, and it will be also in the rest of the season.”
Gross, meanwhile, was quick to play down suggestions that Brighton should be considered title contenders.
“No. We are not in a title race,” he insisted. “But we have started the season really well. It's the beginning of the season though.
“You see the Premier League, the margins, you look at the results - we are not getting carried away yet. Every game we have to suffer a lot. Sometimes it is momentum. But we are really pleased to head into the international break like this.”
Brentford head coach Keith Andrews felt the decisive moments had made an already difficult assignment harder, particularly after his side were reduced to 10 men and conceded a penalty.
“It’s a difficult place to come,” he said. “The way they’re playing, it was always going to require a very good performance to get what we wanted from the game.
“We obviously gave them a leg-up with the sending-off and the penalty. It then becomes very difficult. We need to learn from that, grow as a group and react in better ways.”
For Brighton, the clean sheet and climb to second offered further encouragement. Hurzeler, however, made clear that improvement would remain the priority, regardless of their position in the table. His focus was on preparation, standards and finding ways to make an already productive team better.