In the preceding years González had won 3 consecutive championships with Club Olimpia (1927, 1928 &1929).
He led Paraguay in the 1929 South American Championship of Nations, where he was the tournament top scorer with 5 goals (2 vs Uruguay and 3 vs Peru).
González also played in both of Paraguay's matches at the 1930 World Cup.
In later life he coached Club Olimpia and the Paraguay national team.