Preheat the oven to 325 degrees F (165 degrees C). Coat a baking sheet with cooking spray.

Whisk egg whites in a glass, metal, or ceramic bowl until frothy. Whisk in almond extract.

Combine coconut, sugar, flour, and salt in a large bowl. Gently fold in egg white mixture until batter comes together.

Drop tablespoonfuls of batter onto the prepared baking sheet spaced 2 inches apart.

Bake in the preheated oven until edges start to brown, about 20 minutes.

Transfer cookies to wire racks to cool.