Prep the skillet by preheating it over medium heat for about 2 minutes. Add olive oil to coat the pan evenly.

Warm the tortillas in a microwave for 10-15 seconds covered with a damp paper towel.

In a large bowl, combine all filling ingredients: cooked chicken, cheeses, garlic, cream cheese, parsley, salt, and pepper. Mix until well incorporated.

Assemble the wraps by placing filling in the center of a tortilla and rolling tightly.

Cook wraps seam-side down in the skillet for 2-3 minutes until golden brown, then flip and cook the other side for another 2-3 minutes.

Once cooked, cut each wrap in half diagonally and serve hot.