Preheat your oven to 350 degrees Fahrenheit.
Using an electric hand mixer, whip together the pumpkin, softened butter, and sugar until fluffy, about one minute.
Then add in your egg and mix for another minute. Next add in the vanilla and mix for another minute. Your dough will be light and fluffy.
In a separate bowl combine, flour, pumpkin pie spice, baking soda, and salt.
Add your dry ingredients to your wet ingredients. Starting on low, gently increase mixer speed until the dry ingredients are mixed into the wet, and your dough becomes sticky.
Place your dough in the refrigerator for about 30 minutes.
When 30 minutes is up, scoop out a golf ball sized scoop of cookie dough, and using your hands roll it into a ball. Place six cookie dough balls onto a cookie sheet, put the rest of the dough back into the refrigerator.
Bake the cookies for 11 minutes.
Remove from the oven and cool for 10 minutes before transferring to a cooling rack. Repeat for the remaining cookie dough. Let cookies cool for an hour before frosting.