There he went on to win several honors with that team, including one South American Championship in 2002, averaging 11.1 points in 49 games.

In 2002, González had a short spell in the Bolivian League club Real Santa Cruz, but he made a comeback to Libertad for the 2002–03 season; averaging 20.2 points in 20 games played.

Therefore, he was regarded as one of the best players in the Uruguayan League in 2003, along with his fellow Argentine national basketball team teammate Paolo Quinteros.

González, having claimed that he had declined the chance to continue in Italy, left the team after the 2004–5 season; and returned to Argentina.

His performance in that team was stellar, as he led Argentino de Junin to a second-place finish at the 2005 Super 8 Tournament (for Argentine clubs).

González was born in Lanús, but when he was young, he moved to Puerto Madryn, and then to Punta Alta.