Preheat the oven to 350°F (175°C). Line a baking sheet with parchment paper.
In a large mixing bowl, combine the peanut butter, granulated sugar, egg, baking soda, vanilla extract, and salt.
Mix the ingredients thoroughly until a smooth dough forms.
Using a tablespoon, scoop out dough portions and roll each into a ball.
Place the dough balls onto the prepared baking sheet, spacing them about 2 inches apart.
Flatten each ball gently with a fork, creating a crisscross pattern on top.
Bake in the preheated oven for 10 to 12 minutes, or until the edges are lightly golden.
Remove the cookies from the oven and allow them to cool on the baking sheet for 5 minutes.
Transfer the cookies to a wire rack to cool completely before serving.