At that time, his mother Jiřina, one of the leading intellectuals of pre-World War II era, was arrested and sentenced to 18 years in prison. His father Emanuel, the mayor of the town of Humpolec where Zábrana grew up, was later arrested as well, and sentenced to 10 years in prison. Due to his family affiliations, Zábrana was unable to enroll in any Czechoslovak institution of higher education.