Medford aive chikamu che1985 FIFA U-16 World Championship yakaitirwa kuChina, mutambo wekutanga weFIFA World Cup umo Costa Rica yakambobuda, uye akarova chinangwa chekutanga kunyika yake mumakwikwi aya. Akaita kutanga kwake kwevakuru kuCosta Rica muna Kukadzi 1987 mumutambo wehushamwari neSouth Korea uye akawana huwandu hwe89 caps, achihwina zvibodzwa gumi nesere. Akamirira nyika yake mumitambo makumi matatu nenomwe yeFIFA World Cup uye akatamba muNdebe dzeNyika mbiri, Italy 1990 neJapan-Korea 2002. Akahwina chibodzwa achipesana neSweden mu1990 World Cup, izvo zvakaguma nekukodzera kutenderera kwechipiri. Akahwinawo chibodzwa chakakunda paAzteca Stadium vachipesana neMexico mumakwikwi e2002 FIFA World Cup. Mutambo wacho, unozivikanwa se"Aztecazo", ndeumwe wemitambo miviri chete yokugadzirira World Cup iyo Mexico yakambokundwa pamusha. Akatambawo pa 1995 UNCAF Nations Cup pamwe ne1991, 2000, uye 2002 CONCACAF Gold Cups uye 1997
uye 2001 Copa Américas. Mutambo wake wekupedzisira wepasi rose waive muna Chikumi 2002 FIFA World Cup mutambo wakanangana neTurkey.