Place artichoke, tomato, garlic, olive oil and flour in a large bowl. Season with salt and pepper to taste and combine well.
Preheat oven to 370 degrees F. Place the chicken breasts into an 11x8-inch baking dish. Spread the tomato mixture over the chicken evenly.
Bake in the oven until chicken is cooked. Remove from the oven and sprinkle mozzarella cheese over the top. Change the oven to broil, and broil until cheese is melted. Then remove from oven and top with chopped basil and serve alone or with pasta or any kind of bread you like.