A Bulgarian Armenian, Azaryan was born in Plovdiv, Bulgaria's second city. He graduated from what is today the Krastyo Sarafov National Academy for Theatre and Film Arts in Sofia in 1966 and was a post-graduate student in Moscow and Saint Petersburg (then Leningrad) in the Soviet Union. He spent most of his career as a theatre director at the Theatre of the Bulgarian Army, though he has also worked for the Plovdiv Theatre, the National Theatre, the Satire Theatre and Theatre Sofia, as well as theatres in Moscow and Bitola. He has directed plays by Anton Chekhov, William Shakespeare, Nikolai Gogol, Nikolay Haytov, etc.
After spending 30 years as a professor of acting at the National Academy for Theatre and Film Arts, Azaryan left the academy to join New Bulgarian University's theatre department in 2005. Azaryan was married to poet Valentina Radinska.
He won the Askeer theatre prize.
- "Почина режисьорът Крикор Азарян" (in Bulgarian). News.dir.bg. 2009-12-14. Retrieved 14 December 2009.
- "Крикор Азарян почина" (in Bulgarian). Труд онлайн. 2009-12-14. Archived from the original on 26 December 2009. Retrieved 14 December 2009.
- "Famous Bulgarian Theater Director Krikor Azaryan Dies at 75". Sofia News Agency. December 14, 2009.
- Veneta Pavlova (December 21, 2009). "In Memoriam of professor Krikor Azaryan". Radio Bulgaria.