Going from a student with F visa to Green Card is a >10 year adventure with all sorts of problems and complex legal framework. Not to mention, it's practically

Going from a student with F visa to Green Card is a >10 year adventure with all sorts of problems and complex legal framework. Not to mention, it's practically impossible for some majors, in particular if your major does not apply to OPT STEM extension, it's very hard to get H1B as you have 1 chance to be picked in lottery. This "universities sell US citizenship" thing is plain misinformation.