Mix flour, granulated sugar, and canned pumpkin by hand or in an electric mixer until it forms a dough.
5 cups self-rising flour, 15 ounce canned pumpkin, 1⅔ cups granulated sugar
Cover dough with plastic wrap or put in an airtight container, and refrigerate for an hour or up to overnight.
Take a small amount of dough, about a quarter cup, and form it into a flat disk with your hands. It should be about 1 inch thick. Repeat with remaining dough.
Next, heat vegetable oil in a frying pan over medium heat. Use enough oil to completely submerge one layer of formed dough.
Add as many pieces of frybread dough as you can comfortably fit into the pan of oil, leaving a bit of room between so you can easily turn them. Fry until the edges start to turn brown.
Flip the pieces of dough over and continue to fry until the second side is also brown.
Remove to a paper towel-lined dish to soak up any extra oil, and allow to cool.
If desired, sprinkle with powdered sugar.