I don't know if Zappos' CS infrastructure is the same as Amazon's, but if it is I will just say I feel getting this to integrate would be.... non-trivial.
CS infrastructure is quite a bit different from Zappos (Amazon doesn't provide live chat support for example from what I understand), and as entities, both their customer service philosophies (while focused on keeping the customer happy) are quite a bit different - Zappos is very high-touch, and Amazon is not.