Khzmalyan's father, Eduard, was a construction engineer, who worked on several historically important buildings in Yerevan, including the Moscow Cinema.

Khzmalyan held an anti-Kremlin position, claiming that Vladimir Putin and his KGB regime had annihilated Armenian statehood and colonized Armenia.

[8][9] During the Second Nagorno-Karabakh War, Khzmalyan joined the Armenian Armed Forces as a volunteer and took part in military engagements with Azerbaijan near Martakert, Artsakh.

On 24 February 2022, when Russia started a full-scale invasion of Ukraine, Khzmalyan and members of European Party of Armenia held an anti-war rally near the Russian Embassy in Yerevan.

[12] In 2023, he and Armenian singer-songwriter Ruben Hakhverdyan, visited Kyiv and held a concert to collect donations for the Armed Forces of Ukraine.

[14] Khzmalyan serves as the chair of the Board of Trustees of PanEuropa Armenia, the Armenian branch of the Paneuropean Union which was founded in September 2023.

Khzmalyan is married to Narine Mirzoyan, PhD in medicine, Head of Department of Pharmacology at the Yerevan State Medical University.