Preheat the oven to 375 degrees F (190 degrees C).

In a medium mixing bowl, combine chicken, Buffalo sauce, and shredded mozzarella.

On a clean surface, using a rolling pin, flatten each biscuit to about ⅛-inch thick. Divide the Buffalo mixture equally between each biscuit (about ¼ cup per biscuit). Place mixture in the center and pinch the edges of the biscuit together to seal the mixture inside. Place sealed biscuits, seam-side down, on an ungreased baking sheet.

Bake in the preheated oven until golden brown and hot throughout, about 15 minutes.

Stir melted salted butter, parsley flakes, and ½ teaspoon garlic powder together in a bowl; brush over biscuits immediately upon removing from the oven.

Serve with blue cheese or ranch dressing, for dipping.