1. Albert Batyrgaziev made his professional debut on 3 July 2020, scoring a seventh-round stoppage victory via corner retirement against Armen Ataev to capture the vacant WBA Asia East super-featherweight title at the Soviet Wings Sport Palace in Moscow, Russia.
Albert Batyrgaziev's second fight came against Erzhan Turgumbekov on 22 August 2020 in Kazan, Russia.
Albert Batyrgaziev next faced Sibusiso Zingange on 29 January 2021 at the Soviet Wings Sport Palace in Moscow.
Albert Batyrgaziev knocked his opponent down in the seventh round with a punch to the body.
Albert Batyrgaziev was scheduled to face Suat Laze for the vacant WBO European featherweight title on 11 October 2021, at the Ice Palace Salavat Yulaev in Ufa, Russia.
Albert Batyrgaziev was booked face Franklin Manzanilla for the vacant IBF International featherweight title on 24 December 2021, at the USC Soviet Wings in Moscow, Russia.
Albert Batyrgaziev won the fight by a fourth-round technical knockout, as Manzanilla's corner threw in the towel at the 2:25 minute mark.
Albert Batyrgaziev faced Heybatulla Hajialiyev for the vacant EBP lightweight title on 3 April 2022, at the USC Soviet Wings in Moscow, Russia.
Albert Batyrgaziev next faced Ricardo Nunez in a lightweight bout on 11 November 2022.
Albert Batyrgaziev faced the former WBA super featherweight champion Jezzrel Corrales on 4 February 2023.
Albert Batyrgaziev won the fight by a ninth-round technical knockout, as Corrales' corner threw in the towel 28 seconds into the penultimate round.
Albert Batyrgaziev next faced the undefeated Francis Frometa on 28 July 2023.