Preheat a skillet over medium heat with a drizzle of olive oil. Wrap tortillas in a damp paper towel and microwave for 10-15 seconds.

In a large bowl, combine chicken, mozzarella, cheddar, cream cheese, garlic, parsley, salt, and pepper. Stir until creamy. Fold in baby spinach.

Place about 1/2 cup of the mixture in the center of each tortilla. Roll tightly, tucking in the sides.

Cook the filled wraps seam-side down in the skillet for 2-3 minutes on each side until golden-brown and cheese is oozing.

Remove from skillet, let sit for a minute, slice diagonally, and serve warm.