Preheat the oven to 375°F (190°C).
In a bowl, mix shredded chicken, mozzarella cheese, cheddar cheese, and minced garlic. Season with salt and pepper.
Place a portion of the mixture in the center of each tortilla and roll tightly.
Arrange the wraps on a baking sheet and brush with melted butter.
Bake for 15-20 minutes or until the wraps are golden and the cheese is melted.
Serve warm and enjoy!