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