Owning or running a hospital would require a broad range of experience and qualifications and certainly health administration would be considered one area that would be of importance. Knowing how to run and mange the day to day operations would be a crucial part to being the head of the organization, just as it would running any business. I think this area would be a great start and from here you can move into more specialized fields relating to Health Management. Best of Luck!
Yes, Healthcare Admin degree is a great choice for "running a hospital." It is a business so knowledge and skills in management, marketing, and fund raising will be good as well! 4 year degree Healthcare Admin within Organizational Leadership (ex: https://emajor.usg.edu/degrees/organizational-leadership/healthcare-administration) tou can even think beyond hospital and into other similar sectors = Through a degree in organizational leadership, the health care administration concentration prepares students for health services careers, such as a healthcare administrator through the study of leadership issues specific to the healthcare industry. Health administrators may find employment in various areas including hospitals, long term care facilities, medical practices, outpatient centers, government agencies, insurance companies, pharmaceutical companies, and many more.