Preheat your oven to 375°F (190°C).
In a mixing bowl, combine shredded chicken, cream cheese, cheddar cheese, garlic powder, onion powder, salt, and pepper.
Roll out the crescent roll dough on a lightly floured surface, separating it into triangles.
Place a spoonful of the chicken mixture on the wider end of each triangle and roll it up tightly.
Pinch the seams to seal the edges firmly and place them seam-side down on a parchment-lined baking sheet.
Bake in the preheated oven for 15-20 minutes, or until golden brown.
While the Chicken Pillows bake, prepare the garlic Parmesan sauce by combining sour cream, heavy cream, and Parmesan cheese in a saucepan over medium heat.
Add garlic and season with salt and pepper. Stir well until heated through and slightly thickened.
Remove the Chicken Pillows from the oven and let them cool for a few minutes before serving with the sauce.