Supply chain has very broad application in real-world operations. Sourcing, procurement, logistics, transportations, lean productions, inventory management, assembly line...etc., you name it.
Basically from the manufacturing line til market, everything from outside the factory are related to supply chain. Automobile industry is a typical field to go. Also manufacturing industries. IT industry need it too.
You can go IT industry to consult them the efficiency inhancement on supply chain management.
For the H1B issue, it really depends on what specific skills or advantages over American MBAs you've got and what specific position and functionality the recruitor needs from you.
You may have some cultural or language advantage to help your future company grow. The American companies are more likely send you back to your country, while you can try the companies from your country but now based in the U.S. might be easier.
 
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