I don't know if they deliver but if you are looking for a place to call and ask if they do, Run Run Chinese is just off property past DTD. The food was good and reasonably priced.
I always found Citrus Garden to be one of the better Chinese restaurants that delivers although I never ordered from Disney property. They are located across the street from Premium Outlets so I assume they would deliver to POP but I would call to make sure.
I'm pretty sure Run Run Chinese delivers. WE had it delivered to Beach Club before. It's pretty good. We compare to Chinese food we can get here in Chicago, so I'm not too impressed.
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