Yes!
All models of our shufflers can work with both single-sleeved cards and double-sleeved cards. The default setup of your shuffler should support both, but it is also adjustable to your preference, and to fit your exact sleeves. There are screws on the front and rear of the shuffler to adjust the pass-through slot for cards, so you can tune your shuffler, as needed.
Please see our Support page for more information on adjustments to your shuffler.