[4] Sevikyan made his senior debut with the reserves on 19 January 2020, coming on as a second-half substitute for Álex Blesa in a 0–1 Segunda División B away loss against CE Sabadell.
[6] Sevikyan made his professional – and La Liga – debut on 5 December 2020, replacing goalscorer Jorge de Frutos late into a 3–0 home win against Getafe CF.
[7] On 6 July 2022, Sevikyan signed a three-year contract with Russian Premier League club Pari Nizhny Novgorod.
[10][11][12] On 24 April 2024, he scored the winning goal against Nyíregyháza Spartacus FC in the semi final of the 2023–24 Magyar Kupa season [13][14] On 20 April 2024, the Ferencváros–Kisvárda tie ended with a goalless draw at the Groupama Aréna on the 29th match day of the 2023–24 Nemzeti Bajnokság I season[15] which meant that Ferencváros won their 35th championship.
[18][19] On 6 September 2024, Sevikyan returned to his childhood club Lokomotiv Moscow on a season-long loan with an option to buy.