In a large pot or Dutch oven, heat a bit of olive oil over medium heat. Add the chopped onion, diced carrots, and minced garlic, sautéing until softened.
Add the ground turkey to the pot, breaking it apart with a spoon and cook until browned.
Pour in the chicken broth, salsa verde, diced tomatoes, chickpeas, kidney beans, and edamame. Add the ground chili powder, cumin, and coriander to the pot with the turkey.
Bring the mixture to a boil, then reduce the heat to low and let it simmer for at least 30 minutes to allow the flavors to meld.
Add lime zest, lime juice, salt, and pepper to taste. Adjust the seasoning as needed.
Simmer for an additional 15-20 minutes until the chili reaches your desired consistency.
Serve hot, garnished with fresh cilantro, if desired, and a wedge of lime on the side.