Pat your zucchini shreds with paper towels to remove any excess water.
Stir together butter, brown sugar, flour, and cinnamon until it forms a paste. Stir in zucchini.
Once the dough is risen, roll it out on a lightly floured surface into a large rectangle, about 12” by 9”. Spread the filling as evenly as possible over the rectangle, making sure to reach to the sides so the outer rolls have enough filling.
Roll the dough up tightly from the long end. Slice it into 9 equal rounds. Place the rolls into a 9” pan or 9 1/2” round pie plate that has been sprayed with cooking spray. (You can also slice them into 12 rolls and place them in a 9x13" pan.)
At this point, you can let them rise for about 30 minutes-1 hour until they are swelling up in the pan and bake as directed. Or you can do what I do: cover with plastic wrap and stick in the refrigerator overnight until ready to bake.
When ready to bake, preheat oven to 350 degrees. If the rolls have been in the refrigerator, remove them and let them warm up while the oven is preheating. Remove the plastic wrap and bake for 15-25 minutes, or until they are golden brown.