Morozov joined the Red Army during the Russian Civil War as a teenager, and following the end of the war served in the Caucasus region, rising to command positions in the cavalry. During the mid-1930s he was moved to the far east of Russia, to take several peacetime commands and deputy commands, and served as a battalion chief of staff at the Battle of Lake Khasan. He reached the rank of colonel before taking over what would eventually be the 422nd Rifle Division, the highest-numbered such division to actually see combat in the Soviet-German War. In recognition of the 422nd's achievements in Operation Ring, it was re-designated as the 81st Guards Rifle Division on March 1, 1943, and Morozov was promoted to the rank of major general the same day. He continued to lead the 81st Guards until September 14, returning to command on December 12. He remained there until November 11, 1944, when he was replaced. Morozov was retired from the Soviet Army on February 15, 1955, due to illness. During his retirement he lived in Voronezh and Stalingrad (Volgograd) and wrote several volumes of memoirs before he died on July 11, 1979.