Military Injury Surgical Systems Integrated Operationally Nationwide to Achieve ZERO Preventable Deaths Act or the MISSION ZERO Act This bill amends the Public Health Service Act to require the Office of the Assistant Secretary for Preparedness and Response to award grants to certain trauma centers to enable military trauma care providers and trauma teams to provide trauma care and related acute care at those trauma centers. Funds may be used to train and incorporate military trauma care providers into the trauma center, including expenditures for malpractice insurance, office space, information technology, specialty education and supervision, trauma programs, and state license fees. Grantees must allow the military trauma care providers to be deployed for military operations, training, or response to a mass casualty incident.