The owner of a company can be anyone in the world. There is no need to have a visa or green card to own a company in the United States. However, you cannot employ yourself in your company to get a working visa, and you cannot pay yourself a salary if you are not legally allowed to work in the US. But you are still able to run the company.
In the end, you can form your company, run it, and make a profit without the need of approval from anyone. You can even employ US citizens, which might eventually help you to get obtain US visas in the future. But, just by owning a company, you do not have the right to any US visas. You are better off contacting an immigration lawyer if you want to learn more about getting a US visa.