Preheat your oven to 350°F (175°C) and line a baking sheet with parchment paper.
In a large mixing bowl, cream together the softened butter, powdered sugar, and granulated sugar until light and fluffy.
Mix in the vanilla extract and lemon zest until well combined.
Gradually add the flour and salt to the butter mixture, mixing until just combined.
Gently fold in the crushed freeze-dried strawberries until evenly distributed.
Scoop tablespoon-sized portions of dough onto the prepared baking sheet, spacing them about 2 inches apart.
Bake for 12-15 minutes, or until the edges are lightly golden. The centers should remain soft.
Remove from the oven and let the cookies cool on the baking sheet for 5 minutes before transferring them to a wire rack to cool completely.
Once cooled, dust the cookies with powdered sugar before serving.