Remove pizza dough from the fridge and bring to room temperature for about 10 minutes.
In a shallow bowl, combine the sugar and cinnamon. Set aside.
Sprinkle the flour onto a large cutting board or work surface and roll dough into a 10x10-inch square.
Using a ruler and a paring knife, trim off the uneven edges around the dough.
Cut the square in half so you have two 5x10-inch pieces of dough.
Cut each piece of dough into 1-inch strips.
Stack two strips on top of each other and place a chopstick down the center and press. Flip over and press the other side. Repeat with the remaining strips.
Add about 1 inch of oil to a heavy pan and bring the heat to medium-high.
Once the oil is hot, add half of the churros at time and fry for 2 to 3 minutes per side.
Remove churros, then immediately roll in the cinnamon sugar mixture to coat. Repeat with the remaining churros.
Serve the churros with optional chocolate and caramel sauce.