Preheat the oven to 375°F (190°C).
In a bowl, combine shredded chicken, cheddar cheese, mozzarella cheese, minced garlic, and sour cream. Season with salt and pepper.
Place a generous portion of the mixture in the center of each tortilla, then roll tightly to form wraps.
Place the wraps seam-side down on a baking sheet lined with parchment paper.
Brush the tops with melted butter and sprinkle with parsley, if desired.
Bake for 12-15 minutes or until the wraps are golden and crispy.
Serve warm and enjoy!