Preheat your oven to 350°F (175°C). Line a baking sheet with a silicone baking mat or parchment paper.
In a medium bowl, whisk together the granulated sugar, all-purpose flour, and salt until well combined.
Stir in the sliced almonds into the dry ingredients.
In a separate bowl, whisk together the melted butter, egg whites, and almond extract until smooth and slightly frothy.
Pour the wet ingredients into the bowl with the dry ingredients and almonds. Gently stir until just combined.
Drop teaspoonfuls of batter onto the prepared baking sheet, leaving about 2 inches between each cookie.
Using the back of a spoon or an offset spatula, spread each mound of batter into a thin, even circle, about 2-3 inches in diameter.
Bake in the preheated oven for 8-10 minutes, or until the edges are golden brown and the centers are lightly golden.
Immediately after removing the baking sheet from the oven, use a thin spatula to carefully lift each almond tuile from the baking mat. If you want to shape them, gently drape them over a rolling pin, the edge of a bowl, or any other curved surface to create a curved shape. Work quickly, as they will harden as they cool. If they become too stiff to shape, return them to the oven for a minute or two to soften.
Place the shaped almond tuiles on a wire rack to cool completely. They will crisp up as they cool. Once cooled, they are ready to serve.