But he enjoyed another away win and thanked fans for making the long trip to Turf Moor.
Mats Wieffer scored late in each half as the Seagulls won 2-0.
Hopes of Europe are growing after five wins in six and three successive clean sheets on the road.
Head coach Hurzeler said: “I want to say thanks to our supporters for travelling so far, thanks for the support.
“Hopefully they have a safe journey home and a nice journey.
“Regarding the performance, I think it was not the best game from us.
“We kept a clean sheet, that was important.
“We suffered, especially at the defensive set-pieces.
“At two moments we were a little bit unlucky because of tight offside positions.
“Offensively we played well. We created a lot of chances, a lot of danger especially with Minteh, with Ferdi, with the crosses.
“We could have scored more goals.
“Overall, we were there in the key moments,
“We managed the game quite well, we controlled the game quite well.
“But of course also Burnley, and they have proved it in their last games, have individual quality.
“I always emphasise the Premier League is so competitive. There are no easy games.
“The approach from us, the effort was good.
“Not an easy game, not a perfect performance but it is important to win these types of games.”