Preheat a skillet or grill pan over medium heat and add approximately 1 tablespoon of olive oil.

In a large mixing bowl, combine 2 cups of shredded cooked chicken, 1 cup of mozzarella cheese, ½ cup of cheddar cheese, 4 ounces of cream cheese, and 2 minced garlic cloves. Stir in ¼ cup of chopped fresh parsley, along with salt and pepper to taste.

Lay out 4 low-carb tortillas on a clean surface and evenly distribute the cheesy chicken mixture onto each, then roll tightly.

Place the rolled wraps seam-side down in the heated skillet and cook for about 2-3 minutes on each side until golden brown.

Remove from the skillet, slice in half, and serve hot with dips like salsa or sour cream.