In addition to the domestic league, Mezőkövesd participated in that season's editions of the Magyar Kupa.

During the season, the contract of Attila Kuttor was terminated by mutual agreement on 13 February 2024, after 7 games without a win in the league.

[2] After 8 matches, he offered his resignation to the chairman of Mezőkövesd due to not wanting to impose more financial burdens on the club because of a high probability of relegation, but András Tállai did not accept it.

[3][4] On 21 April 2024, Mezőkövesd were officially relegated from the Nemzeti Bajnokság I following a 2–1 loss at Kecskemét.

[5] Note: Flags indicate national team as defined under FIFA eligibility rules; some limited exceptions apply.