Federal Labor-Management COVID Partnership Act This bill establishes the Coronavirus Rapid Response Federal Labor-Management Partnership Task Force. The task force must assess the response of federal agencies to the COVID-19 (i.e., coronavirus disease 2019) public health emergency with respect to agency employees, including the adequacy of agency communications and necessary physical assets. The task force must also provide guidance to prepare for future pandemics, including with respect to equipment levels, cleaning protocols, and leave and telework policies, and must also recommend ways to ensure labor organizations participate in agency decision-making. Each agency must also establish its own working group that addresses similar issues for the future.