Zverev represented Germany at the ATP Cup in 2020 and 2021. At the debut of this tournament in 2020, he was on the team with Jan-Lennard Struff, Kevin Krawietz and Andreas Mies. In the group stage, where Germany met Australia, Canada and Greece, Zverev lost all three matches to Alex de Minaur, Denis Shapovalov and Stefanos Tsitsipas respectively. Germany did not advance to the next phase of the tournament, finishing third in the group.