Preheat oven to 325°F. Line a baking sheet with parchment paper.
In a heatproof bowl, combine the egg whites and sugar. Place the bowl over a saucepan of simmering water to create a double boiler. Whisk constantly until the sugar dissolves and the mixture feels smooth.
Remove from heat and stir in the vanilla, flour, salt, and shredded coconut.
Use a small cookie scoop to portion the mixture onto the prepared baking sheet.
Bake for 25 minutes, or until the macaroons are lightly golden around the edges.
Allow the cookies to cool completely before serving.