*Club domestic league appearances and goals, correct as of 11 December 2024 ‡ National team caps and goals, correct as of 04:29, 17 November 2018 (UTC)
Kartashyan made his international debut for Armenia on 16 November 2018, starting in the 2018–19 UEFA Nations League D match against Gibraltar. He assisted Yura Movsisyan on the first of his four goals, and then scored himself in the 66th minute to put Armenia up 5–1, with the match finishing as a 6–2 away win.[4]