It should. I actually bought an external wireless charger for my Kindle Voyage.
https://www.amazon.com/gp/product/B01DLYF0Q0/ref=ppx_yo_dt_b_search_asin_title?ie=UTF8&psc=1
You plug it in and tuck it inbtween the Kindle and a case.
On a normal generic kindle case it works. I have a feeling this is what most people will be using
On the thick leather case I got off of Etsy, the case is too thick and doesn't work.