IANAL but yes anyone can own a company or start LLC, even foreigners outside of the US. However, on H1B you cannot work for such LLC, you will be in violation

IANAL but yes anyone can own a company or start LLC, even foreigners outside of the US. However, on H1B you cannot work for such LLC, you will be in violation of your visa status. But I am not sure if non-income generating, administrative task such as filing annual reports count as working for your own company. You should check with a lawyer on this. Finally, owning an LLC may create future issues with immigration. Even if you don't violate your visa, immigration officers may assume that you did. It might be easy to clear up with additional documentation but I would not risk it.