Lerager played club football for AB, Viborg and Zulte Waregem.

[2] He joined French club Bordeaux in June 2017, signing a four-year contract.

[3][4] On 29 January 2019, Lerager signed to Italian Serie A club Genoa on loan with an option to buy.

[8] On 12 December 2023, he scored the only goal in a 1–0 victory over Galatasaray, which qualified his club to the Champions League knockout stages.

[9] After representing them at youth level,[10] Lerager made his debut for the Denmark senior national team in 2017.