Goderdzi Natroshvili (born 20 May 1970) is a Georgian former professional footballer who played as a midfielder for clubs in the Soviet Union, Cyprus and Greece.
In July 1999, Natroshvili joined Greek second division side Panachaiki.
He helped the club gain promotion to the Greek Superleague and would play the following two seasons in the top flight with Panachaiki.
Following his playing career, Natroshvili became a football manager.
He led Greek club PAS Giannina F.C.