Career
Chivadze spent his entire club career at Football Club Dinamo Tbilisi, playing from 1974 to 1987. He earned 46 caps for the Union of the Soviet Socialist Republics national team and was included in the squads of the 1982 and 1986 World Cups. (In 1982 World Cup he was the captain of the Soviet team).
After retirement from playing he was head-coach of the Georgian national team from 1993 to 1997, and again from 2001 to 2003.
On 31 January 2012, he became the head coach of the Georgia national under-21 football team