Heat olive oil in a large pot over medium heat.
Add diced onions and sauté until translucent.
Stir in sliced carrots and chopped celery; cook for about 5 minutes.
Add shredded turkey and mix well with the vegetables.
Pour in the broth and bring to a boil.
Add dried thyme, salt, and pepper to taste.
Reduce heat and simmer for 20 minutes.
Add green beans and simmer for an additional 10 minutes.
Taste and adjust seasonings as necessary.
Serve hot, garnished with fresh parsley.