 Nyora kupfuurira kweiyi ndima - Muna 1972, Iraq yakatamba mukombe wavo wekutanga weAFC Asian Cup asi vakatadza kukunda mutambo mumutambo uyu. Muna Kurume 1973, Iraq yakatamba yavo yekutanga FIFA World Cup kukwikwidza mushandirapamwe. Vakapedza vari vechipiri muboka ravo, pfungwa imwe shure kweAustralia, nokudaro vakakundikana kupinda mumutambo unotevera. Mumakore akasara emakore ekuma1970, Iraq yakasvika padanho repiri reMitambo yeAsia 1974, yakarasikirwa neArab Gulf Cup yekupedzisira 1976, yakapedza yechina kuAFC Asian Cup 1976, yakapedza yechina muAsia Games 1978 uye pakupedzisira yakagamuchira uye yakakunda Arab Gulf Cup 1979. The 1976 Asian Cup yaizova yokupedzisira Asian Cup kuti Iraq akaonekwa nokuda inotevera 20 makore, sezvo vakabvisa kubva rakatevera shanduro ina. 