Suazo made his debut for Honduras in a May 1991 UNCAF Nations Cup match against Panama and has earned a total of 51 caps, scoring 28 goals. He has represented his country in 15 FIFA World Cup qualification matches and played at the 1991, 1993, and 1995 UNCAF Nations Cups as well as at the 1993 CONCACAF Gold Cup. He was top goalscorer at the 1993 UNCAF Cup with 5 goals.