"Many new opportunities are largely being discussed in Armenia nowadays and that will not be a secret if I say that includes membership in the European Union," Mirzoyan said in an interview with Turkey's TRT World television station, Reuters reported.
He was speaking on the sidelines of a diplomatic forum in the Turkish city of Antalya on the Mediterranean coast.
Since coming to power in a 2018 revolution, Armenian Prime Minister Nikol Pashinyan has deepened Armenia's ties with Europe and the United States, repeatedly drawing the ire of traditional ally Russia.
Yerevan has repeatedly said that its alliance with Moscow does not stretch to the war in Ukraine.
Armenia accuses Russia of failing to defend it against long-standing rival Azerbaijan, which has drawn closer to Moscow in recent years.