Remove dough from each can and unroll to a rectangular shape. Fold the shorter end of 1 sheet up 1/3 of the way. Fold the opposite edge 1/3 of the way to fold over (and cover) the first fold. The dough should have 3 layers. Use a 3-inch cutter to cut 3 circles from the dough. Form the scraps into another layered piece and cut out one more circle. Repeat with the remaining dough sheet. Use a smaller cutter to cut the center out of each circle to form a donut shape and reserve for donut holes.

Fill a large saucepan halfway with oil and place over medium-high heat to reach a temperature of 350 to 365 degrees F (175 to 183 degrees C). Line a tray with paper towels.

Combine sugar and cinnamon in a shallow dish; set aside.

Working with 2 to 3 cronuts at a time, carefully lower each cronut into the hot oil. Fry about 1 minute, rotating occasionally, until browned evenly. Drain briefly on the prepared tray. While donuts are still hot, coat evenly in cinnamon sugar.