[12] She defeated French wildcard Léolia Jeanjean in the second round[13] and qualifier Clara Tauson in the third, becoming the first lucky loser at Roland Garros in the last 16 in 35 years since 1988 and only the fifth overall at this major.

[22] At the French Open, she reached a consecutive fourth round with wins over Zhu Lin,[23] Anna Blinkova[24] and seventh seed Zheng Qinwen.

[28] Avanesyan made it through to the quarterfinals at the Budapest Grand Prix, defeating fifth seed Magdalena Fręch[29] and Rebeka Masarova[30] before losing to Anna Karolína Schmiedlová in three sets.

[32][33] In the last four, Avanesyan defeated Chloé Paquet and advanced into her maiden WTA Tour final[34] which she lost to Mirra Andreeva when she retired injured while trailing in the third set.

[35] She recorded her first tour main-draw win under her new Armenian nationality at the Cincinnati Open as a lucky loser, making history for her country as the first player to do so, over wildcard Bianca Andreescu.

[39] Seeded fifth at the 2024 Japan Women's Open, Avanesyan defeated defending champion Ashlyn Krueger,[40] before going out to local wildcard Sara Saito.

[42] Avanesyan started her 2025 season at the Brisbane International, defeating Rebecca Šramková[43] and fourth seed Paula Badosa,[44] before losing to Ons Jabeur in the third round.

[45] The following week, at the Hobart International, she overcame qualifiers Wang Xiyu[46] and Greet Minnen,[47] then benefitted from the withdrawal of third seed Amanda Anisimova to reach the semifinals,[48] where she lost to eventual champion McCartney Kessler.