[2] He won his first ATP match at the 2022 Grand Prix Hassan II as a qualifier defeating ninth seed Tallon Griekspoor.

[4] He qualified into the main draw at the ATP 500 2022 Astana Open as lucky loser after the late withdrawal of Jannik Sinner.

At the 2023 Grand Prix Hassan II in Marrakech, Morocco, Kotov reached his first ATP semifinal defeating Pedro Martínez, seventh seed Benjamin Bonzi and Christopher O'Connell.

[8] In Marrakech he reached back-to-back semifinals at the tournament, defeating local wildcard Elliot Benchetrit and Italians Flavio Cobolli and qualifier Fabio Fognini.

He recorded also his first two wins at the 2024 French Open where he upset 32nd seed Cameron Norrie in five sets and Stan Wawrinka in four.