01 - Preheat oven to 400°F. Line a baking sheet with parchment paper and set aside.
02 - In a medium bowl, combine almond flour, granulated sugar, egg white, softened butter, almond extract, and salt. Mix thoroughly until a smooth, uniform paste forms.
03 - On a lightly floured surface, roll out the thawed puff pastry into a 12x12 inch square.
04 - Cut the pastry into 4 equal strips lengthwise, then cut each strip in half crosswise to create 8 rectangles total.
05 - Place approximately 1 tablespoon of almond filling down the center of each rectangle, leaving a 1/2 inch border around all edges.
06 - Fold each rectangle in half lengthwise over the filling. Press edges firmly to seal. Using a sharp knife, make 3 to 4 diagonal cuts along the sealed edge. Gently curve each pastry into a slight arc to fan out the 'claws.'
07 - Transfer pastries to the prepared baking sheet. Brush each bear claw generously with beaten egg, then sprinkle with sliced almonds and coarse sugar if desired.
08 - Bake for 18 to 22 minutes, or until pastries are puffed, deeply golden brown, and cooked through.
09 - Allow bear claws to cool on the baking sheet for 5 minutes before transferring to a wire rack. Serve warm or at room temperature.