Preheat the oven to 350 degrees F (175 degrees C). Grease a baking sheet with coconut oil.
Beat butter in a bowl until creamy. Add eggs one at a time, and mix until well combined. Mix in cream cream cheese, coconut flour, baking powder, instant pistachio pudding mix, and sweetener until well combined.
Drop cookies in tablespoon-sized dollops on the prepared baking sheet.
Bake in the preheated oven until cookies are brown around the bottom edges and lightly browned on the tops, 10 to 15 minutes.