On 21 February 2020, he joined Krylia Sovetov Samara on loan until the end of the 2019–20 season.[5]
On 2 February 2021, he was loaned to Khimki until the end of the 2020–21 season.[6]
On 23 July 2021, he was again loaned by Krylia Sovetov Samara until the end of the 2021–22 season.[7] On 25 June 2022, Glushenkov returned to Krylia Sovetov on a permanent basis and signed a three-year contract.[8]
On 28 December 2022, Glushenkov signed a four-year contract with Lokomotiv Moscow.[9]
On 20 June 2024, Glushenkov joined Zenit Saint Petersburg on a four-year contract with an option for a fifth year.[10] On 13 July 2024, he scored twice, was selected man of the match and won his first trophy with Zenit in the 2024 Russian Super Cup game against Krasnodar.[11] On his league debut for Zenit against Krylia Sovetov Samara a week later, he again scored twice and was named man of the match in a 4–0 victory.[12] On 3 August 2024, he scored the first hat-trick of his career in a 5–0 victory over Rostov, he scored 6 goals in his first 3 league games and 8 in his first 5 competitive games for Zenit.[13] On 18 August 2024, in the fifth round match of the RPL against Khimki, he suffered a fracture of the radius bone of his right hand as a result of being hit by a ball and was forced to leave the field in the 24th minute.[14]
International career
Glushenkov was called up to the Russia national football team for the first time for a friendly against Kyrgyzstan in September 2022.[15] He made his debut in that game on 24 September 2022.[16]