In a large mixing bowl, combine shredded chicken, mozzarella cheese, cream cheese, minced garlic, and chopped parsley. Using a spatula, mix until the ingredients form a creamy, cohesive filling.

Add salt and pepper to taste, adjusting as needed to enhance the flavors of your mixture.

Lay out each tortilla on a clean, flat surface and spoon a generous amount of the chicken filling onto the center of each tortilla.

Starting from one end, tightly roll each tortilla around the chicken mixture, tucking in the sides as you go.

Heat a drizzle of olive oil in a large skillet over medium heat and add the wraps seam-side down.

Once the wraps are a beautiful golden color, remove them from the skillet and let them cool for a minute. Slice each wrap in half diagonally for easy serving.