 Nyora kupfuurira kweiyi ndima - Muna 1982, achitambura kuti awane chimiro mushure mekuparadzaniswa nemurairidzi wake wenguva refu Ryszard Tomaszewski, Kozakiewicz akahwina raizove menduru yake yekupedzisira yePoland, menduru yebronze pa1982 European Indoor Championships muMilan. Muzhizha, akasarudza kusvetuka kunze kweEuropean Championships achidana fomu yakashata, iyo yaakagamuchira imwe mwedzi mitanhatu yekuregererwa kubva kuPZLA. Mwaka wa1983 wakatevera hauna kutanga zvakanaka kuna Kozakiewicz sezvo akapedza wechipfumbamwe chete pa1983 European Indoor ChampionshipsMuBudapest. Pashure pokuratidzira kwakashata ikoko akabatanidzwazve nomurairidzi Tomaszewski ndokuedza kuvaka chimiro che 1983 World Championships muHelsinki. Iye pakupedzisira akapedza wechisere muchiitiko ichocho achibvisa 5.40 metres. Mugore reOlympic ra1984, Kozakiewicz akasvetuka zviri nani zvikuru kusvika pamamita 5.75 muna Chikunguru. Zvisinei, nemhaka yokurambidzwa kweMitambo yeOlympic yeLos Angeles neSoviet, vatambi vakawanda vokuEastern bloc havana kukwanisa kukwikwidza muMitambo yacho. Panzvimbo pezvo, chimwe chiitiko chakarongwa nokuda kwenyika dzechiSoshalist, Mitambo yoUshamwari, nevatambi vevarume vaikwikwidzana muMoscow. Kozakiewicz, asingadi kutora chikamu mune zvaakaona sechiitiko chisina musoro, akatora chete kuedza kwakabudirira pa5.40 metres asati aedzesera kukuvara uye achirega. Kuita kwake kwakatsamwisa sangano rePoland iro rakakumbira kuti iye adzokere pakarepo kuPoland kubva kumusangano muBrussels kwaakatora chikamu munguva pfupi mushure meMitambo yeUshamwari uye mushure mekunge aramba akadzingwa zvakare. 