Brouzet was born in Béziers, and represented the clubs Stade Français and Grenoble UC. He finished fourth at the 1970 European Indoor Championships, fourteenth at the 1971 European Indoor Championships, eighth at the 1971 European Championships, won the bronze medal at the 1971 Mediterranean Games, finished fifth at the 1972 European Indoor Championships, and twelfth at the 1972 Olympic Games.