In a mixing bowl, combine the shredded chicken, mozzarella cheese, cream cheese, minced garlic, and chopped parsley. Mix until creamy and well combined.

Sprinkle in salt and pepper to taste, stirring well to ensure even seasoning.

Lay tortillas flat and evenly distribute the creamy chicken mixture down the center, leaving space at the edges.

Tightly roll each tortilla, tucking in the sides to seal the filling.

In a skillet, heat olive oil over medium heat. Add wraps seam-side down and fry until golden brown, about 3-4 minutes.

Flip the wraps and cook for an additional 3-4 minutes until golden and crispy.

Transfer to a cutting board and slice in half diagonally. Serve with dipping sauces.