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a non-resident non-citizen of the USA wants to dropship products to USA market.
Orders are fulfilled by various suppliers from China, USA and other countries.
The will be no physical presence in the US: no office, no warehouse, no employees, etc.
You do not need any legal entities to sell in USA. Regardless of your location, you can sell anywhere in the world. That is the main advantage of dropshipping.
But you should pay taxes to your government from the money you make in dropshipping. If any legal procedure to start an eCommerce business in your country you should follow that.