Freedom for Health Care Workers Act This bill nullifies the rule titled Medicare and Medicaid Programs; Omnibus COVID-19 Health Care Staff Vaccination, which was issued by the Centers for Medicare & Medicaid Services on November 5, 2021, and prohibits the issuance of any substantially similar rule. The rule requires health care providers, as a condition of Medicare and Medicaid participation, to ensure that staff are fully vaccinated against COVID-19.