González was a consistent hitter who spent most of his career in Mexican baseball (1947–1949, 1951–1956), where he won three consecutive batting titles (1952–54) including the Triple Crown in 1952.

An eight-time .300 hitter, he collected 1144 hits in 3459 at-bats for a .331 batting average during nine seasons.

After that he played for the Patriotas de Venezuela club of the Venezuelan Professional Baseball League during the 1951–1952 season.

He finished with a .357 batting average and led the league in home runs (10), RBI (56), hits (74), doubles (18) and slugging % (.739).

Later, he played as a reinforcement for the Navegantes del Magallanes in the 1951 Caribbean Series, where he led the Venezuelan offensive with a .333 average and two home runs, while his 11 RBI topped the tournament.