You can find the pumpkin beignets in DisneyLand at the Mint Julep Bar as well as the French Market. This snack was at the top of my to do list. My husband must really love me because we waited in line for at least 45 minutes to try these! The line wrapped all the way around around back towards French Market Seating Area.
We were patient. :) My husband got coffee & I got a diet coke with an order of 3 pumpkin beignets. You can get a 3 pack or 6 pack. Looking back we regretted not getting 6 but there was no way we were getting back in that line! They only have the pumpkin ones during the fall season. I have had the beignets at the French Quarter Resort at WDW (review here http://yohoyohobloggerslifeforme.blogspot.com/2014/09/disneys-french-quarter-beignet-review.html )& the DL ones blow those out of the water! They give them to you in a paper bag loaded w/ powdered sugar. It is meant for you to shake your own bag to cover your beignets nicely. We noticed no one around us was shaking the bag & they were dipping it instead? The morning we were there they had a major shortage of the regular beignets. Luckily we love pumpkin flavored anything. :)
The French Quarter does serve beignets but they have later hours than the Mint Julep Bar.