Shares & Saves. Save. Stucco is a popular finish on the exterior of homes or interior ceilings, among other things. If you are updating the paint or accidentally get paint on the stucco, you'll need to take precautions to remove the paint without damaging the stucco. Test the paint remover in a small, inconspicuous area first. 2  Give it a chance to dry and settle if possible. 3  These directions are for small spills only, not to refinish or repaint stucco.