Warm tortillas in the microwave for 10–15 seconds to prevent cracking.
In a large bowl, combine chicken, mozzarella, cheddar, cream cheese, garlic, parsley, salt, pepper, and spinach if using.
Divide filling evenly among tortillas and roll tightly.
Heat olive oil in skillet; cook wraps 2–3 minutes per side until golden and cheese melts.
Slice diagonally, garnish with parsley, and serve hot.
