Healthcare Workforce Resilience Act This bill makes previously unused immigrant visas available to nurses and physicians who petition for such a visa before the date that is 90 days after the end of the declared national emergency relating to the COVID-19 (i.e., coronavirus disease 2019) outbreak. The number of visas available shall be the total number of unused employment-based immigrant visas from FY1992-FY2020, up to 40,000. Of such visas, 25,000 shall be reserved for nurses and 15,000 for physicians. Certain family members may accompany the principal beneficiary of a visa provided under this bill, and visas for such family members shall (1) be made available from the unused visas from FY1992-FY2020, and (2) not be counted against the 40,000 cap. Visas provided under this bill shall be exempt from per-country limitations.