Myers made his debut for Costa Rica in a June 1990 FIFA World Cup match against Brazil and earned a total of 48 caps, scoring 2 goals. He represented his country in 8 FIFA World Cup qualification matches and played at the 1990 FIFA World Cup held in Italy. He also played at the 1993, 1995 and 1999 UNCAF Nations Cups as well as at the 1993 and 1998 CONCACAF Gold Cups and the 1997 Copa América.