He was involved with digitalization of autopsy documentation as well as establishing a system for reporting the COVID-19 pandemic victims in Slovakia.
[3] On 14 March 2023 the Prime Minister Eduard Heger put Palkovič in charge of the Health Ministry following the resignation of Vladimír Lengvarský.
For this reason, Palkovič was formally appointed a State Secretary and Heger himself took the position of the interim health minister.
As Heger was already the interim Finance and Economy minister, Palkovič was given the authority to de facto lead the ministry.
[4] Following the collapse of the Cabinet of Eduard Heger, the president Zuzana Čaputová appointed Palkovič to the office of the Minister of Health in the technocratic government of Ľudovít Ódor.