Aslanov graduated from the Transcaucasian Preparatory Military School in Baku, Leningrad Cavalry School and passed courses in the Military Academy of Armoured Troops. He began his Red Army service in 1929 and took part in the Soviet-Finnish War (1939-1940). In the beginning of the Soviet-German War (1941) Aslanov was in the 10th Soviet Tank Division and met his first battle in the town of Zlochev. Then he participated in the battles for Moscow and Stalingrad against Field Marshal Manstein. Tank brigade under his command run from Stalingrad through Borisovo, Vileyka, and Minsk to Vilnius and Riga and participated in battles of Rostov and Taganrog. The 35th Tank Brigade commanded by him liberated the town Pleshinitsy.
On 24 January 1945 he was killed in a battle in Latvia.
Azi Aslanov received his first star in 1943 for the heroism in Stalingrad. The second one was supposed to be given for the cross of Berezino river, under the recommendation of General of the Army Ivan Chernyakhovsky, but because of discriminatory treatment he got it posthumously, 46 years later, in 1991, after a special appeal by Azerbaijani intelligentsia to Gorbachev.