In a mixing bowl, combine the softened butter, minced garlic, dried Italian herbs, salt, and black pepper. Mix until well combined.
Spread an even layer of the garlic butter mixture over one side of each tortilla.
Sprinkle the shredded mozzarella and grated Parmesan cheese evenly over the buttered side of the tortillas.
Carefully fold the tortillas in half to create half-moons or keep them flat, based on your preference.
Preheat the air fryer to 350°F (175°C) for 3 minutes.
Place the prepared tortillas in the air fryer basket, making sure not to overcrowd (you may need to cook in batches).
Air fry the tortillas for 6-8 minutes or until the cheese is melted and bubbling, and the tortillas are golden and crispy.
Remove from the air fryer and let cool slightly. If desired, garnish with fresh parsley before cutting into wedges and serving.