Preheat a skillet over medium heat.
Spread garlic butter evenly over each tortilla.
Layer shredded chicken, mozzarella, and cheddar cheese onto the center of each tortilla.
Season with salt and pepper.
Fold the sides and roll up the wraps tightly.
Place the wraps seam-side down on the skillet.
Cook for 3-4 minutes per side until golden brown and the cheese has melted.
Serve warm with sour cream and a sprinkle of fresh parsley.