On 26 June 2017, Melikyan was appointed head coach of
Stal Kamianske. On 25 September 2017, he left the club. On September 2019, Melikyan was appointed assistant to head coach
Volodymyr Mazyar at
Lviv. On 31 October 2019, he was appointed head coach of this team. On 21 June 2020,
Lviv decided to part ways with Melikyan upon the expiration of his contract. On 28 June 2020, Melikyan was appointed as manager of
Alashkert. On 5 January 2021, he left the club by mutual consent. 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. On 6 August 2025, Melikyan left
FC Pyunik and was appointed head coach of the
Armenia national team. ==International career statistics==