In a mixing bowl, cream together the softened butter and powdered sugar until light and fluffy. Stir in the vanilla extract. Gradually add the flour, chopped nuts, and salt, mixing until a soft dough forms.
Roll the dough into small balls, about 1 inch in diameter. Place them on a parchment-lined plate or tray.
Preheat your air fryer to 320°F (160°C) for about 5 minutes.
Arrange the cookie balls in the air fryer basket in a single layer, ensuring they are not overcrowded. You may need to cook in batches. Air fry for 8-10 minutes, or until the cookies are lightly golden on the bottom.
Once cooked, let the cookies cool for a few minutes. While they are still warm, roll them in powdered sugar to coat.
Allow the cookies to cool completely on a wire rack, then dust with additional powdered sugar if desired. Enjoy your delicious snowball cookies!