With the senior Argentine national basketball team, González played at the 1947 FIBA South American Championship, the 1949 FIBA South American Championship, and the 1955 FIBA South American Championship. He also competed with Argentina at the 1948 Summer Olympics and the 1952 Summer Olympics. He was the team captain of the senior Argentine national team that won the gold medal at the 1950 FIBA World Championship. He was named to the 1950 FIBA World Championship's All-Tournament Team. He also won silver medals at the 1951 Pan American Games, and the 1955 Pan American Games.