Preheat the oven to 350°F (175°C) and line two baking sheets with parchment paper.
Cream the butter and ½ cup powdered sugar until light and fluffy, about 3 minutes.
Beat in the vanilla extract until fragrant.
In a bowl, whisk together the flour and salt. Gradually add to the butter mixture and stir until combined.
Fold in the chopped pecans until evenly distributed.
Baking
Roll the dough into 1-inch balls and place them 1 inch apart on the prepared baking sheets.
Bake for 15 to 18 minutes, until the edges are pale golden.
Cooling and Dusting
Let the cookies rest on the baking sheet for 5 minutes.
Roll the warm cookies in powdered sugar, cool completely on a wire rack, then roll again to coat.
Notes
Chill the dough for 10 minutes if it feels too soft to prevent spreading.For a citrus twist, stir in 1 teaspoon finely grated orange zest with the pecans.Roll the cookies twice—once warm and again when fully cooled—for that signature snowball finish.