The 2020–21 Greek Football Cup was the 79th edition of the Greek Football Cup. It took place with the participation of the 14 clubs from the Super League 1, as there was no competitive action in the lower divisions (Super League 2, Football League and Gamma Ethniki) until early January due to the COVID-19 pandemic. The HFF decided that the Cup would be held with the participation of teams only from the top-flight Super League, which was normally in progress.^[1] The winner of the Cup qualified for the next season's Europa Conference League third qualifying round.

The draw for this round took place on 5 January 2021.^[2]

The draw for this round took place on 5 February 2021.^[3] Shortly afterwards, Olympiacos vice-president Kostas Karapapas and Aris president Theodoros Karypidis both implied that the draw was fixed and claimed that some of the balls used from the HFF representative and chairman of the Greek Cup Committee Manos Gavrielidis during the procedure, were previously heated.^[4] Gavrielidis stated that there was a live streaming of the draw and everything was performed according to law on restrictions concerning the COVID-19 pandemic which forbade the presence of club representatives, something that was also applied in the previous draw.^[5] The Hellenic Football Federation issued a statement later that day denouncing the whole story as ridiculous and absurd.^[6] Olympiacos issued a statement in response, insisting that the draw was fixed by the Federation and accusing the HFF representatives of being corrupted and responsible for the total humiliation of the competition and of Greek football in general.^[7]

The draw for this round took place on 16 March 2021.^[9]