Sergeant Parnow was a member of Company D, 1st Battalion, 8th Cavalry Regiment, 1st Cavalry Division. He was listed as Missing in Action while fighting the enemy near Unsan, North Korea, on 2 November 1950. He was presumed dead on 31 December 1953. His remains were not recovered. His name is inscribed on the Courts of the Missing at the Honolulu Memorial.

Parnow was awarded the Purple Heart, the Combat Infantryman's Badge, the Korean Service Medal, the United Nations Service Medal, the National Defense Service Medal, the Korean Presidential Unit Citation and the Republic of Korea War Service Medal.