Career
He was elected as the President of the Football Federation of Ukraine in September 2012. During his playing career Konkov played in defense as a stopper. In 1979 Konkov played couple of games for Ukraine at the Spartakiad of the Peoples of the Union of the Soviet Socialist Republics. After retiring as a player Konkov became a coach, coaching clubs of the Soviet Union, Ukraine, and Azerbaijan.
On 2 September 2012 he was elected the President of the Football Federation of Ukraine, becoming the second president after Viktor Bannikov who had a professional player career.