Minasyan made his international debut for Armenia on 9 October 1999 in a UEFA Euro 2000 qualifying match against Andorra, which finished as a 3–0 away win. He made four appearances in total for Armenia, earning his last cap on 12 February 2001 in the 2001 Albena-Mobiltel Tournament against Uzbekistan. Minasyan scored his only international goal in the match to double Armenia's lead, with the fixture finishing as a 2–0 win.[4]