Heat up extra-virgin olive oil in a deep, heavy-bottomed pan for frying. Gently place the zucchini in hot oil and fry until golden. Then place the zucchini on an absorbent paper towel to drain excess the oil. Allow to cool. Place the fried zucchini, mint leaves, and garlic into a bowl. Season the zucchini with fresh extra-virgin olive oil, white wine vinegar, and salt. Mix well to coat evenly. Remove the quartered garlic cloves before serving.