Preheat a non-stick skillet or grill pan over medium heat. Add olive oil and let warm for 1-2 minutes until shimmering.

In a large mixing bowl, combine cooked chicken, mozzarella, cheddar, cream cheese, minced garlic, parsley, salt, and pepper. Stir thoroughly until well-blended.

Distribute the filling mixture evenly along the center of each tortilla, then roll tightly, tucking in the sides.

Place the rolled tortillas seam-side down in the preheated skillet. Cook for 2-3 minutes on each side until golden brown.

Once cooked, remove from skillet, let cool briefly, then slice diagonally to serve.