Barrett akaita mutambo wake wekutanga nechikwata chenyika yeJamaica muna 1990 vachipesana neBarbados. Akatungamira nyika yake pa 1998 FIFA World Cup. Maererano neJamaica Football Federation, Barrett akawana 127 caps yenyika yake, asi nhamba iyi haina kubvumwa zviri pamutemo neFIFA nekuti JFF inosanganisira mitambo yese, kunyangwe ichipesana nemakirabhu, vechidiki kana zvikwata zveOlympic. Akatamba mutambo wake wekupedzisira weFIFA muna 2000 vachipesana neHonduras mu2000 CONCACAF Gold Cup
; akauya achitsiva mutambi wepakati Winston Griffiths apo Aaron Lawrence akadzingwa. Akaroora ane vana vatatu, Ashley, Warren Jr. naMoya.