Preheat oven to 350 degrees and lightly grease a baking sheet.
In a large bowl, use a hand-held mixer or a wooden spoon to mix the cream cheese, 2 tablespoons melted butter, milk, salt, pepper, and red pepper flakes together.
Stir in the chicken and green onions.
Unroll the crescent roll dough and separate it into 8 rectangles. Try to stretch them a little into more of a square shape. Press on the preforations to seal them.
Divide the chicken mixture evenly between the 8 pieces of dough, placing it in the center of each piece.
Bring the edges of the dough up to the center to form a bundle and press to seal the edges.
Place them on the prepared baking sheet. Brush the tops with the remaining 2 tablespoons of melted butter.
Sprinkle the tops with the stuffing mix and Parmesan cheese.
Bake for 20 to 25 minutes.