Prepare hot roll mix according to package directions. After the resting step, divide dough in half. Roll one half of dough on a lightly floured surface into a 16x10-inch rectangle. Spread with half of the pizza sauce. Combine cheese, pepperoni, olives, and mushrooms; sprinkle half of mixture over pizza sauce. Roll up into a spiral, starting from one of the long sides. Pinch edges to seal.
Cut roll into sixteen 1-inch slices. Place cut side down in a well greased 9x1-1/2-inch round baking pan. Repeat with remaining dough, pizza sauce, and cheese mixture and place rolls in a second baking pan. Sprinkle lightly with Parmesan cheese, if desired. Cover and let rise in a warm place about 1 hour or until nearly double in size.
Bake in a 375 degree F oven about 20 minutes or until golden brown. Cool slightly. Remove from pan. Serve warm. Makes 32 rolls.