How to make freeze-dried strawberry powder: Add freeze-dried strawberries to a food processor and pulse into a fine powder. If you don't have a food procesoor, place the freeze-dried strawberries in a ziplock bag and use a rolling pin to beat the strawberries until they are powdery. Set aside.
In a large bowl, add butter. Sift in confectioners' sugar and add vanilla extract. Mix with a spatula or mixer just until combined.
Sift in the cake flour, freeze-dried strawberry powder, and salt. Mix with a spatula until the dough starts to come together. It will look crumbly at first, but the dough will come together as you continue mixing.
Chill the dough for at least 30 minutes in the refrigerator.
Preheat oven to 300℉/150℃ and line two baking pans with parchment paper.
Take the dough out of the refrigerator. Roll the dough into a 1/4-inch (5 mm) thick slab. Cut the dough with a cookie cutter. Place the cut dough on baking sheets, spaced at least an inch apart. Re-roll the scraps and refrigerate for a few minutes until firm again. Repeat the process until all the dough is used.
Chill in the refrigerator for another 30 minutes if the dough has warmed up.
Bake for 15-18 minutes or until the bottom edges of the cookies are lightly brown.
Let the cookies cool for about 5 minutes on the baking sheet, then carefully transfer them to a wire cooling rack to cool completely.
Decoration
Pour the melted white chocolate into a piping bag and drizzle the chocolate over the cookies.
Sprinkle chopped freeze-dried strawberries over the cookies. Let the chocolate firm up before serving.
Notes
Use cake flour for light, crisp, and tender cookies. Use all-purpose flour for softer and chewier cookies.