Morozov was born on January 6, 1905 at the Kagalnitskaya "stanitsa" in the Don Host Oblast, and graduated from a parochial school in 1914. In June 1918 he joined the Red Army in Rakov (now Novobataisk) during the Russian Civil War. Serving as a Red Army man and a scout in the Sreda detachment of the 1st Peasant Regiment, Morozov fought against the Volunteer Army and the White Cossacks at Kushevka in the Don Host Oblast, and in the Kuban on the Manych. The detachment was defeated in March 1919 and Morozov with a group of fighters escaped towards Bataysk. Having linked up with Red Army units south of Rostov, he became a scout in the 3rd Squadron of the 20th Salsk Cavalry Regiment in the 4th Cavalry Division, which subsequently became part of the 1st Cavalry Army. With the army, Morozov fought in battles at Tsaritsyn, the Voronezh–Kastornoye operation, the Kharkiv operation, the Donbass operation (1919), the Rostov–Novocherkassk operation, the North Caucasus operation, and the Battle of Yegorlykskaya. He was thrice wounded, in 1919 at Malyy Bal and Sinyavinskaya, and in 1920 at Yekaterinoslav.