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It would mainly depend on the nature of your business entity and possibly the nature of the investment. The fact that the investor is from the UAE is not alone dis-positive of the potential investor's involvement.
There are some industries that require regulatory or other approval for foreign investment, such as significant infrastructure components, energy projects, defense suppliers, etc., but I find it highly unlikely that those issues would affect you.
I hope this answer has been helpful. I'd be happy to further clarify my response and follow up with any other questions. If you're satisfied with my answer, remember to hit the "accept" button, and positive feedback is always appreciated! -Michael
This is an s corp 100% owned by me. No public stock is out at this point.
Sorry I ment a c corp
Yes, a foreign national can own shares of a C corp.