Gather all your ingredients and tools.
Cream together the softened butter and powdered sugar until light and fluffy.
Add the gluten-free flour, salt, and vanilla extract to the bowl and mix until a dough forms.
Shape the dough into a log, wrap in plastic wrap, and chill in the refrigerator for at least 30 minutes.
Preheat the oven to 350°F, slice the dough into 1/4-inch thick rounds, and place on a lined baking sheet.
Bake for 12-15 minutes until edges are lightly golden, then cool on the baking sheet for 5 minutes before transferring to a wire rack.