He scored his only goal on his final professional match against Uruguay[3] which was won by Alajuelense 4–1 on 23 September 1990, shooting a penalty kick; he was later substituted by up-and-coming goalkeeper Paul Mayorga.
González played one final match against Czechoslovak opposition Inter Bratislava in December 1990 on an international friendly which also served as his testimonial.
[5] His record stood since his final competitive match on 23 September 1990 and lasted until 1 November 2017 when it was surpassed by current first choice keeper Patrick Pemberton.
He made his debut for Costa Rica in a March 1983 friendly match against Mexico and earned a total of 13 caps.
He represented his country in 5 FIFA World Cup qualification matches and was part of the team that participated in the Los Angeles Summer Olympic Games in 1984.