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Whiz up 2/3 cup of toasted pistachios in the food processor until finely ground, about 8-10 pulses should do it. In a small mixing bowl, whisk together flour, sea salt, and ground pistachios.
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In a large mixing bowl beat the butter and granulated sugar on medium until light and fluffy, scraping down the sides of the bowl as needed, about 3 minutes. Add the egg and vanilla mix until fully combined, about a minute.
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With your mixer on low, slowly add in the flour/pistachio mix, in two or three additions. Once all the flour mixture is added, increase the speed to medium and mix until just combined. Turn out onto a lightly floured surface and split the dough in two. Press each half into a disk, about one inch thick and wrap each tightly with plastic wrap. Refrigerate both disks for at least one hour and up to one day.
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When you're ready to back the cookies, preheat the oven to 375* and take the dough out of the fridge and let it sit at room temperature for about 10 minutes (the longer you've left it in the fridge, the longer you'll probably need to let it sit on the counter) so that it's easier to work with. Meanwhile, line two rimmed baking sheets with parchment paper. Lightly flour your work surface and with a rolling pin, roll the dough to about 1/8" thickness. Using a floured 2 1/2 inch round cutter, cut out the cookies and place on baking sheet. Gently press the leftover scraps of dough together and re-roll the dough and cut out more cookies.*
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Bake in the oven for 7-9 minutes until the cookies are set around the edges and lightly golden, rotating once during baking. Remove from oven and allow to cool for five minutes on the baking sheet, then transfer to cooling rack and allow to cool completely. Repeat the baking process with the second tray of cookies.