1) Heat the water in a large pan until boiling point. Then add the turkey carcass, chopped garlic, thyme and bay leaves. The carcass should be fully submerged. If not chop it into smaller pieces. Season with pepper and salt. Then turn the heat low and leave the carcass to simmer for 1 hour.
2) Take the pan off the heat and pour its content through a fine sieve over another pan. Let the turkey broth drip for 1 minute.
3) Pick any remaining chunks of turkey meat off the bones. Discard the rest. Put the turkey broth back on the heat and simmer gently. Then check the seasoning and add more pepper or salt if necessary.
4) Add the turkey meat and diced zucchini to the soup. Stir and take it off the heat again. Serve immediately.