Grind freeze-dried strawberries in a food processor until fine powder.
Cream softened butter and vanilla extract with a hand mixer for 2 minutes.
Add powdered sugar and beat for an additional 2 minutes until fluffy.
Mix in ground freeze-dried strawberries.
Add flour and salt; mix on low speed until just combined. Dough will be slightly crumbly.
Form dough into a ball, then pat onto a lightly floured parchment paper sheet.
Sprinkle dough with flour and roll to 1/4-inch thickness.
Place rolled dough on a cookie sheet, wrap with plastic wrap, and refrigerate for 1 hour.
Preheat oven to 350°F (175°C).
Punch out desired cookie shapes and carefully release them from parchment with an offset spatula.
Refrigerate scraps if soft, re-roll, cut shapes, and chill again.
Place cookies 1 inch apart on baking sheet and bake 10-12 minutes.
Allow cookies to cool completely before glazing.
Blend strawberries into a smooth puree, then whisk with powdered sugar to form glaze.
Dip cooled cookies into glaze, optionally sprinkle crushed freeze-dried strawberries on top.
Place glazed cookies on wire rack to dry before serving.