Preheat your oven to 375°F (190°C) and line a baking sheet with parchment paper to prevent sticking.
Roll out the pizza dough on a lightly floured surface until it's about 1/8 inch thick, then cut it into 8 small squares with a sharp knife or pizza cutter.
Place a slice of pepperoni in the center of each dough square, then sprinkle a pinch of shredded cheese over the pepperoni.
Fold each square in half over the filling to form a triangle, then pinch the edges tightly together to seal in the cheese and pepperoni.
Arrange the sealed pockets on the prepared baking sheet, with the sealed side down to help them stay closed during baking.
Bake in the preheated oven for about 15 minutes, or until the pockets are puffed up and golden brown on top, with crispy edges.
Remove from the oven and allow to cool slightly before serving. These bites should have a crunchy exterior and a cheesy, savory filling inside.