Hurzeler, 33, signed a new long-term deal at the club on Thursday. He is the youngest manager in Premier League history and has his side eighth in the table, on 50 points with three matches remaining, as they seek European football for only the second time in the club’s history.
“He [Hurzeler] has done well for the club,” Veltman, who is two years older than his head coach, told BBC Radio Sussex.
“He deserves this extension 100%. We will try and get to the next level with the club and that’s what he has been doing now for two years in a row fighting for Europe.
“I think we are in a good place, fighting for the European places.
“For me, because of his age he speaks our language a bit more. He has really good staff around him who are really close to the players. The mix of not just him but his staff also are a good mix to be around here.”
The Seagulls host already relegated Wolves on Sunday, before a trip to Leeds and a visit from Manchester United on the final day.
“It’s just the final push,” Veltman added.
“Last three games, get everything out of it, and then everyone will go their own ways. That’s the mindset at the moment – three finals. At the end we have to see where we are at.”