Pedzisa mutsara unotevera: Cocu akatanga kutamba nechikwata chenyika cheNetherlands muna 1996 uye akaonekwa paMutambo weNyika wa1998, achihwina zvibodzwa zviviri asi achirovha penalti mumasemi-fainari neBrazil. Akatambawo paWorld Cup ya2006, pamwe chete ne 1996, 2000 uye
Makwikwi eEurope 2004. Cocu akasvika kuma semi-fainari mumakwikwi maviri ekupedzisira uye muna 2004, akashanda semutungamiriri wechikwata cheDutch. Nemitambo 101, Cocu ari wechisere pane runyorwa rwevazhinji veDutch vanoita nhabvu. Munguva yebasa rake, ainyanya kutamba semudziviriri "mutambi" pakati penhandare, asi akazozivikanwa zvakaenzana nekugona kwake kuiswa semudziviriri, kumashure, winger kana kumberi.