hello aayush verma
I hope you are doing good. As per your query, I would like to inform you that you can persue post graudation or pg diploma from US after getting MBBS degree from germany . But it would be good if you have good statement of purpose, as getiing us visa for studying too is difficult from 2-3 years . I am very sorry to inform you that getting permament residency is almost next to impossible unless and until you dont have atleast 20+ years work experience in US
Hope you found this answer helpful. Good luck for your future
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