Preheat oven to 350°F (175°C) and line a baking sheet with parchment paper.
In a large mixing bowl, whisk together the egg, peanut butter, maple syrup, and vanilla extract until well combined.
Add the almond flour, baking soda, and salt to the wet ingredients and stir until a thick dough forms.
Scoop approximately 1 tablespoon of dough per cookie and roll into balls.
Place balls on the prepared baking sheet and flatten slightly using a fork in a crisscross pattern.
Bake for 10 to 12 minutes until the edges are lightly golden.
Allow cookies to cool on the pan for at least 10 minutes to set before transferring to a wire rack.