He was selected to represent Ukraine at the inaugural junior World Championships alongside Nazar Chepurnyi and Volodymyr Kostiuk.

[1][3][4] Kovtun next competed at the European Youth Olympic Festival in Baku, Azerbaijan, again alongside Chepurnyi and Kostiuk.

After the Olympic Games Kovtun returned to competition at the World Challenge Cups in Koper and Mersin where he picked up an additional gold and bronze medal and three silvers.

[9] In October Kovtun competed at the 2021 World Championships where he won the all-around bronze medal behind Zhang Boheng and Hashimoto Daiki.

Kovtun then competed at the Swiss Cup where he was partnered with Yelyzaveta Hubareva; they finished second behind the Russian team of Nagornyy and Angelina Melnikova.

On the first day of event finals he won silver on floor exercise behind Artem Dolgopyat and placed fifth and sixth on pommel horse and rings respectively.

He won his fourth consecutive gold medal on the parallel bars, completing a clean sweep of the titles.

His team was given shelter by gymnastics clubs in European countries where they could train in exile and prepare for future competitions.

For the first couple of days, the refugees were hosted by Blau-Weiss Buchholz, a German club,[19] before they spent the next two months in the Palestra Ginnastica Ferrara in Italy.

[22] In the middle of June 2022, the group of about 15 people including coaches and few family members moved to a gym in Osijek, Croatia.

During the parallel bars final Kovtun recorded the highest score, a 15.333, but lost a tie-break to Joe Fraser of the United Kingdom and took home the silver medal.

[25] He next competed at the Arthur Gander Memorial where he placed first in the four-event all-around despite a rough start on floor exercise.

[30] In October Kovtun competed at the 2023 World Championships alongside Nazar Chepurnyi, Igor Radivilov, Radomyr Stelmakh, and Oleg Verniaiev.

Kovtun competed at the World Cups in Cairo, Cottbus, and Baku; he won gold on the parallel bars at each competition.

[33][34][35] He next competed at the Osijek Challenge Cup where he won gold on floor exercise and silver on parallel bars behind Lukas Dauser.

[36] In late April Kovtun competed at the European Championships alongside Nazar Chepurnyi, Igor Radivilov, Radomyr Stelmakh, and Oleg Verniaiev; together they qualified to the team final in first place and individually Kovtun qualified to the parallel bars and horizontal bars finals.

During the team final Kovtun contributed scores on all apparatuses except vault towards Ukraine's fifth place finish.

[39] During the all-around final Kovtun competed cleanly on all six apparatuses, finishing the event in fourth place, just 0.199 points behind bronze medalist Xiao Ruoteng.