01 - In a large soup pot or Dutch oven, heat a splash of oil over medium heat. Add the diced onion, carrots, and celery; sauté for 5–7 minutes until they are softened.
02 - Add the minced garlic to the pot and cook for 1 minute until fragrant.
03 - Stir in the rinsed split peas, the smoked turkey leg or wing, bay leaves, dried thyme, and freshly ground black pepper.
04 - Pour in the chicken or turkey broth and water. Bring the mixture to a boil, then reduce the heat to low and let it simmer, uncovered, for 1 hour, stirring occasionally to prevent sticking.
05 - Carefully remove the smoked turkey from the pot. Allow it to cool slightly, then shred the meat, discarding the skin and bones.
06 - Return the shredded turkey meat to the pot. Continue to simmer for an additional 20–30 minutes, or until the split peas are very tender and the soup has thickened to your desired consistency. Add more water if necessary.
07 - Remove and discard the bay leaves. Season the soup with salt to taste, adjusting as needed.
08 - Serve the green split pea soup hot, optionally garnished with fresh chopped parsley.