Preheat the oven to 350 F. In a medium bowl, whisk together flour, salt, and baking soda. In a large bowl, combine butter with sugar until fluffy. Add in the egg and vanilla extract, and mix until smooth.
Add in the flour mixture, mix until it is fully combined. Fold in the butterscotch baking chips. Roll the cookie dough into balls, and flatten each one slightly. Place one Oreo cookie on each piece of cookie dough.
Roll into a ball, covering the cookies completely. Place the cookies onto a large ungreased baking sheet at least 2-inches apart. Bake for 10-12 minutes.
