 In his first match for the team, Cardozo scored a double in a 5–1 away win over Huracán in the 2017 Copa Sudamericana on 12 July.On 13 February 2019, he scored a half-way line goal, the fourth in a 5–1 home win over Bolivian side The Strongest in the second qualifying stage of the Copa Libertadores.On 5 November 2019, he scored the opening goal of Libertad's 4–1 away victory over Sol América on the Copa Paraguay semifinals.