Kammala jumla mai zuwa: An haifi Zoetebier a Purmerend, Arewacin Holland. Ya fara sana'arsa a kakar wasa ta 1988/89 yana wasa da FC Volendam. Daga baya ya yi aiki da Sunderland, Feyenoord, Vitesse Arnhem, PSV Eindhoven da NAC Breda. Zoetebier ya sanya hannu a Sunderland a lokacin rani na 1997 a matsayin tallafi ga Lionel Pérez. Duk da haka, ya bar Janairu 1998 bayan ya yi wasanni biyu kawai don kulob din (duka a gasar cin kofin League). Babban aikinsa shi ne zama mai tsaron gida na Feyenoord a gasar cin kofin UEFA ta 2002 da Borussia Dortmund yayin da kulob din na Dutch ya ci 3<unk>2. Ya kuma taka leda a
2002 UEFA Super Cup da Real Madrid wanda ya ga ƙungiyar Spain ta yi nasara 2<unk>1. Ya kuma kasance memba ne na ƙungiyar Feyenoord wanda ya lashe Eredivisie a 1998<unk>99 da Dutch Super Cup a 1999 yayin da Jerzy Dudek ya kasance mai tsaron gida na farko na ƙungiyar.