Preheat the oven to 350 F. In a medium bowl, whisk together flour, salt, and baking soda. In a large bowl, combine butter with peanut butter, granulated sugar, and brown sugar until fluffy.
Add in the egg and vanilla extract, and mix until smooth. Add in the flour mixture, and mix until it is fully combined. Fold in the crushed Oreo cookies.
Roll the cookie dough into balls, and place them at least 2-inches apart onto a ungreased baking sheet. Bake for 10-12 minutes.