Heat olive oil in a large pot over medium heat.
Add diced chicken and cook until browned, about 5-7 minutes.
Remove chicken from pot and set aside.
In the same pot, add onion, carrots, and celery; sauté until tender, about 5 minutes.
Stir in garlic and thyme, cooking for another minute.
Add wild rice and chicken broth to the pot; bring to a boil.
Reduce heat and simmer for 30 minutes until rice is tender.
Return chicken to the pot; season with salt and pepper.
Simmer for an additional 5 minutes.
Garnish with fresh parsley before serving.