As the people above say, if you want to practice, you need to get a U.S. license to become a permanent resident or citizen. But you said you wouldn't be a dentist at the clinic. So, I think, as long as you can buy or rent space, pay for all the equipment you need, plus advertising when it's open and paying employees, you're fine. (welcoming foreigners doing business in America)
According to the county seat, there will be some license paperwork to start a company. Contact the county to find out what these requirements are.
In addition, please call the chamber of commerce in your city. They answer questions and even send you a lot of information. They exist only to help businesses and are eager to help new businesses build up.
