Combine TABASCO® Sauce, horseradish, and pizza sauce in a small bowl and mix well; set aside. Place pizza crust on an oiled pizza screen or pan.
Spread pizza sauce mixture over crust, leaving a 1-inch border around edge. Sprinkle cheese over sauce and top with tomato slices and shrimp. Bake according to pizza package instructions or until cheese is melted and crust is crisp. Remove pizza from oven and sprinkle with parsley. Cool slightly and cut into 8 slices. Serve with cocktail sauce on the side.