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 until the dough is smooth and well combined.
Roll the dough into 1-inch balls and place them on the prepared baking sheet about 2 inches apart.
Use a fork to gently press down on each ball, creating a crisscross pattern.
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 before transferring to a wire rack to cool completely.