Melikyan was a member of the Armenia national team, participated in 29 international matches since his debut in away Euro 2004 qualifying match against Greece on 16 October 2002.

On 28 June, Melikyan was appointed as manager of Alashkert.

[1] On 7 January 2021, Melikyan was appointed as manager of FC Pyunik.

On 27 January 2025, Pyunik extended their contract with Melikyan until the end of the 2025–26 season.

[2] Araks Ararat Banants Pyunik Individual