In a wide, shallow bowl, whisk together the eggs, pumpkin puree, milk, maple syrup, vanilla extract, pumpkin pie spice, and salt. Continue mixing until the pumpkin is fully incorporated and the mixture is smooth with no large lumps of puree remaining.
Preheat your air fryer to 350°F (175°C) for about 3 to 5 minutes. While the unit is heating, lightly grease the air fryer basket with non-stick spray or a small amount of melted butter to prevent sticking.
Dip each slice of bread into the pumpkin custard mixture. Let it soak for about 15-20 seconds per side. You want the bread to be well-coated and slightly saturated, but not so soggy that it falls apart when you lift it.
Place the soaked bread slices in a single layer in the air fryer basket. Do not overlap them, as this will prevent even cooking. Cook for 5 minutes, then carefully flip the slices over using tongs and cook for an additional 4 to 5 minutes until golden brown and firm to the touch.
Once the French toast is done, remove it from the air fryer immediately. Serve warm with your choice of toppings and enjoy the flavors of fall.