As they have in the lower courts, the American Hospital Association--joined by the Association of American Medical Colleges, the Catholic Health Association of the United States, Federation of American Hospitals, the National Association of Children’s Hospitals, and the National Association of Public Hospitals and Health Systems--have filed a cert stage amicus brief in HHS v. Florida (No. 11-398). The brief argues that the Court's "prompt review will resolve business uncertainty, allow uncontroversial ACA provisions to move forward, and begin addressing the crisis of uninsurance." It also argues that the Court should deny cert on whether the ACA's Medicaid provisions are constitutional.
You can access the brief here.