Prepare the Chickpeas: If using dried chickpeas, soak them overnight, then drain and rinse before cooking.
Sauté the Vegetables: In a large pot, heat olive oil over medium heat. Add the diced onion, celery, and carrot, and cook until softened.
Simmer the Soup: Add chickpeas, water, and sliced pepperoni. Bring to a boil, then reduce the heat and let it simmer for 45-60 minutes, or until the chickpeas are tender.
Adjust the Seasoning: Taste the soup and adjust with salt, pepper, or additional olive oil if needed.
Serve & Enjoy: Ladle into bowls and serve hot with crusty bread or a drizzle of extra virgin olive oil.