Ka kammala wannan magana: Greene ya kasance cikin 'yan wasan ƙwallon kwando na ƙasar Jamus. Ya buga a EuroBaskets na 2005, 2007, da 2009; da kuma a gasar cin kofin duniya ta FIBA na 2006 da 2010. Ya kuma taka leda a wasannin Olympics na bazara a
A shekara ta 2008.