Heat a large skillet over medium heat and add the butter. When it melts, add the minced garlic and sauté for 1 to 2 minutes until fragrant and lightly golden.

In a bowl, combine the shredded chicken, softened cream cheese, shredded mozzarella, and the sautéed garlic with butter. Season with salt and pepper and mix until evenly combined.

Lay the tortillas flat and divide the chicken mixture into four portions. Spoon each portion down the center of a tortilla, fold the sides in, then roll tightly to form a wrap.

Return the skillet to medium-low heat. Place the wraps seam-side down and cook for 2 to 3 minutes per side until the tortillas are golden brown and the cheese inside is melted.

Remove the wraps, slice in half on the bias, sprinkle with chopped parsley if you like, and serve hot.