Preheat the oven to 350°F (175°C). Line a baking sheet with parchment paper.
In a large mixing bowl, combine the creamy peanut butter and granulated sugar until smooth.
Add the egg, baking soda, vanilla extract, and salt to the peanut butter mixture. Stir until all ingredients are well incorporated and the dough is smooth.
Using a tablespoon, scoop out dough and roll into balls. Place the dough balls on the prepared baking sheet about 2 inches apart.
Flatten each dough 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 from the oven and allow the cookies to cool on the baking sheet for 5 minutes before transferring them to a wire rack to cool completely.