Veterans Health Care Freedom Act This bill requires the Center for Innovation for Care and Payment within the Department of Veterans Affairs (VA) to implement a three-year pilot program to improve the ability of veterans who are enrolled in the VA health care system to access hospital care, medical services, and extended care services through the covered care system by providing such veterans with the ability to choose health care providers. Under the bill, the covered care system includes VA medical facilities, health care providers participating in the Veterans Community Care Program (VCCP), and eligible entities or providers that have entered into a Veterans Care Agreement. A veteran participating in the program may elect to receive care at any provider in the covered care system. The pilot program removes certain requirements (e.g., location of the veteran) to access care at VA and non-VA facilities. After four years, the bill permanently phases out the requirements for accessing care under the VCCP and Veterans Care Agreements and requires the VA to provide such care under the same conditions of the pilot program. Additionally, after four years, veterans may receive care at a VA medical facility regardless of whether the facility is in the same Veterans Integrated Service Network as the veteran.