Brockhauser reached his biggest success while playing for Belgian club KRC Genk.
He was a member of the very successful team that featured Branko Strupar, Souleymane Oularé, Thordur Ghudjonsson, Mike Origi, Domenico Olivieri, Wilfried Delbroek and others.
In his six years with KRC Genk, Brockhauser grew to be one of the most popular players in the club's history.
In the 2001 season he broke his leg after a harsh tackle from Korean SK Beveren striker Lee Sang Il, after which the entire stadium yelled and boo-ed the striker and the other Genk players looked for the Korean to take revenge.
He completed the season as second keeper behind Jan Moons, only gaining some minor time on the pitch with a heroic goodbye from Genk fans at the end of that season's final game, against SK Lokeren.