The person could, however, form the one member LLC in the U.S. and have it treated as though it were a sole proprietorship business for U.S. federal tax purposes. He or she could do that without ever stepping foot in the U.S. The problem is, of course, that actually doing any work (even for for his/her US LLC) in the U.S. is only possible if the alien meets the requirements to work here. If the alien is not eligible to work here, then the person would need to hire U.S. persons to run the U.S. business for him/her.