Preheat the air fryer to 380°F (193°C).
In a large mixing bowl, combine the apple wedges with melted butter, brown sugar, cinnamon, nutmeg, and salt.
Toss the mixture until all apple surfaces are uniformly coated with the spice and fat emulsion.
Place the apple slices into the air fryer basket, spreading them into a single layer to ensure optimal airflow and even caramelization.
Cook for 12 minutes, pausing at the 6-minute mark to shake the basket and redistribute the slices for uniform heat exposure.
Assess the apples for fork-tenderness and a translucent appearance before removing from the heat.
Serve immediately while the caramelization is at peak viscosity.