He represented Paraguay in Davis Cup and played collegiate tennis at the Ohio State University.

[1] The biggest singles final of his career was at Cincinnati in 1980, defeating Jimmy Connors in the semifinals before falling to Harold Solomon.

Francisco González has been the head tennis professional at Sierra Sport & Racquet Club since 1998.

He had career wins over Ivan Lendl, Jimmy Connors, Stefan Edberg, Andrés Gómez, Vitas Gerulaitis, Yannick Noah, Eliot Teltscher, Johan Kriek, and Henri Leconte.

In 1978 he won the men's singles title at the Southern Championships in Greenville, South Carolina.