Preheat oven to 350 degrees and prepare a cookie sheet with cooking spray.
Add butter, shortening, white sugar and brown sugar to a bowl and beat with a hand mixer until incorporated.
Add two eggs lightly beaten.
In a separate bowl, add flour, baking soda, salt, oats and white chocolate chips. Mix together and then slowly beat the dry ingredients in with the butter, sugar and egg mixture.
Scoop batter into 2-inch balls, and put them on a prepared cookie sheet. Lightly press a pretzel onto each ball of cookie dough.
Bake for 10-12 minutes. Let cookies rest for a few minutes, and then transfer them to a cooling rack.