Brabender played for the senior men's Spain national basketball team, and he won the silver medal at the EuroBasket 1973, where he was also named the MVP of the tournament. He also played at the EuroBasket 1971, the 1972 Summer Olympic Games, the 1974 FIBA World Championship, EuroBasket 1975, the 1975 Mediterranean Games, EuroBasket 1977, EuroBasket 1979, the 1980 Summer Olympic Games (where Spain achieved 4th place), EuroBasket 1981, and the 1982 FIBA World Championship.