Melt the unsalted butter in a saucepan over medium heat, stirring occasionally until it turns deep golden brown with a nutty aroma (about 8-10 minutes). Watch carefully to avoid burning. Pour into a bowl and let cool to room temperature—this is crucial for proper creaming later. While the butter cools, finely chop the pecans into roughly 1/4-inch pieces and sift the powdered sugar to remove any lumps. I like to sift the powdered sugar over a small bowl so it's ready to use and won't clump when you need it for rolling.
Using an electric mixer, beat the cooled brown butter with the sifted powdered sugar until the mixture becomes light, fluffy, and pale—this should take about 2-3 minutes. This creaming process incorporates air into the dough, which creates a more tender cookie texture. Scrape down the bowl as needed to ensure everything is incorporated.
Add the vanilla extract and salt to the butter mixture and beat until well combined. In a separate bowl, combine the flour with the chopped pecans from Step 1. Gradually add the flour-pecan mixture to the wet ingredients, mixing on low speed just until the dough comes together—do not overmix, as this can make the cookies tough. I prefer to finish mixing by hand with a wooden spoon to have better control and avoid developing gluten.
Roll the dough into 1-inch balls and place them on a parchment-lined baking sheet, spacing them about 1 inch apart. Refrigerate for at least 30 minutes—this chilling step is essential to prevent the cookies from spreading too much during baking and helps them maintain their neat, compact shape.
Preheat your oven to 350°F and allow it to reach full temperature. Remove the chilled dough balls from the refrigerator and bake for 10 to 12 minutes, until the cookies are golden on the edges but still soft in the center. The cookies will firm up as they cool, so don't overbake them.
Remove the cookies from the oven and let them cool for just 1-2 minutes until they're warm but handleable. Working quickly, roll the warm cookies in the sifted powdered sugar, coating them generously on all sides. Let them cool to room temperature, then repeat the rolling process one more time with a fresh batch of sifted powdered sugar—this double coating creates the signature snowy appearance and extra sweetness that makes these cakes so special.