In a separate bowl, mash together the softened room-temperature vegan butter, brown sugar, cinnamon, and orange zest until a thick paste forms.
Roll the orange dough into a 1-inch thick rectangle that is around 9-inches wide and 14-inches long. Make sure the dough is not too thin otherwise, you will have a hard time rolling it up once the filling is inside.
After the dough is rolled out, use a spatula to spread the cinnamon sugar filling evenly across the dough. Make sure to leave a ¼ inch border around the edges of the dough without filling.
Beginning with the longer side of the rectangle, the 14-inch long side, tightly roll up the dough into a log. Lightly flour the dough as you go to help if it gets a bit sticky. Make sure to seal the roll by pinching the edges together. Then, flip the dough over so the pinched seal is facing down.
Once the dough is rolled into a log, trim the ends and discard. Cut the remaining dough into 10 evenly sized rolls using a very sharp knife or using dental floss.
Grease your pan, I used an 8-inch cake pan, and gently place your rolls into the pan leaving just a little space between each roll giving them a little room to rise. You want the rolls to be close together, so they do not come unrolled but not to the point they are packed into the pan.
Cover your pan with plastic wrap or a towel, and let rest overnight in the fridge for 6 to 8 hours. You can also let the dough rise another 1 hour while the oven is preheating if you can't wait 6 to 8 hours. However, it is best to let the rolls rest and rise overnight.