Preheat oven to 400°F. Line a baking sheet with parchment paper.
Place butter and oil in a small pan with Calabrian Chile Flakes. Warm over medium heat, swirling frequently, until butter is melted. Remove from heat and add garlic, parsley, salt, and cheese and stir to combine. Set aside.
On an oiled surface, divide dough in half, then half again until you have 16 pieces. Roll each piece into a short rope, about 4 inches long and 1/2-inch thick, and tie each one into a knot, tucking in the ends.
Dunk each knot into butter mixture and, using a slotted spoon, turn it to coat. Transfer onto prepared baking sheet. Once all knots have been dunked, bake until golden brown, about 18 to 20 minutes. Transfer finished knots and any oil left on the baking sheet to a large bowl. Gently toss in remaining garlic mixture, warming it to re-melt it if necessary. Serve immediately.
