He made his Davis Cup debut for Czechoslovakia in the 1948 Europe Zone second-round tie against Brazil.

He played the doubles rubber with Jaroslav Drobný, beating the Brazilian pair of Manoel Fernandes and Ernesto Petersen in straight sets.

He also participated in the 1948 Europe Zone Final, where he played in the dead singles rubber against Torsten Johansson, losing in four sets.

Zábrodský's last Davis Cup appearance was in the losing second-round tie against Denmark in the 1956 Europe Zone draw.

Zábrodský and his wife used fake passports and traveled through Hungary and Yugoslavia before reaching Switzerland, where Oldřich, who was playing for Lausanne HC, met them.