Place a medium skillet over medium heat. Add the pepperoni slices in a single layer and fry until they become crisp and the edges curl.
Transfer the crispy pepperoni onto a plate lined with paper towels to drain excess oil.
Lay four tortillas flat on your workspace. Brush each with an extremely thin layer of pizza sauce.
Sprinkle a generous layer of mozzarella cheese over the sauce on each tortilla.
Evenly distribute the crispy pepperoni on top of the cheese. Add a second thin layer of mozzarella over the pepperoni to help the top tortilla stick.
Brush the remaining four tortillas with a thin layer of sauce and place them on top (sauce side down) to close the quesadillas.
Heat a cast iron skillet or heavy bottomed pan over medium heat and melt a small pat of butter.
Gently place one quesadilla into the pan. Cook for 3 to 5 minutes until the bottom is golden brown and crispy.
Carefully flip the quesadilla and cook for another 3 to 5 minutes until the cheese is completely melted and both sides are golden.
Remove from the pan, let it rest for 60 seconds, then slice into quarters. Serve with a bowl of warm pizza sauce for dipping.