[3][4] In September 2016, the Czech government appointed him a member of the board of directors of the General Health Insurance Company (VZP),[5] a position he held until January 2018.

[9] He was subsequently named as Minister of Health in the First Cabinet of Andrej Babiš,[10] appointed to the position on 13 December by president Miloš Zeman.

[18] At the end of December 2017, during an appearance with Jaromír Soukup on TV Barrandov, Vojtěch was asked to give a male assessment of the physical attractiveness of selected Czech female politicians on a magnetic bulletin board.

[19] As department secretary of the Ministry of Finance led by Andrej Babiš, Vojtěch collaborated with businessman Tomáš Horáček [cs], who was accused in June 2019 of manipulating hospital orders.

Through Horáček, he had received information about topics including the management of Czech Television and the income of the wife of ČSSD Minister of Health, Svatopluk Němeček.