Grease 9 inch round cake pan or 8 inch square baking dish, set aside.
Roll out refrigerated pizza dough on a lightly floured surface into a rectangle about 12 inches by 8 inches. If dough is too cold to roll out, let sit at room temperature for 5-10 minutes.
Once the dough is rolled out, spread the cranberry sauce evenly over the rolled out dough, leaving an inch or so edge along the dough. Sprinkle with pecans, brown sugar, ground cinnamon, and allspice.
Roll the dough up into a log, starting at the long side. Cut the rolled up dough into 8 even slices. Place slices into greased baking dish or pan (it's okay if they don't touch--they will expand as they rise)..
Let rise in a warm spot for 1 - 3 hours. At this point, the rolls can be placed into the refrigerator to be baked the next day or a few days later or baked immediately.
After the rise, bake the rolls at 400 degrees F for 20-25 minutes. Let cool.
For the icing: Whisk together powdered sugar, almond milk, and vanilla extract in a small bowl. Pour over the cinnamon rolls and serve.
I am not a health professional and nutrition data is calculated programatically. Accuracy may vary with product selection, calculator accuracy, etc. Consult a professional for the best information.