In a large pot over medium-high heat, heat the oil. Once hot add chicken, cooking until browned on all sides, about 3 to 5 minutes. Remove and set aside.
Add in vegetables and cook until tender, about 3 to 4 minutes. Stir in garlic and continue to cook for 30 seconds to 1 minutes, until fragrant.
Add tomato paste, stirring to combine. Cook for 1 minute.
Pour in the wine to deglaze the pan. Scrape up any of the browned bits from the bottom of the pan with a wooden spoon.
Stir in stock, thyme, bay leaves, and chicken. Bring the mixture to a boil, then reduce to a simmer. Simmer for 20 minutes.
Stir in the potatoes, simmering for another 15 minutes until they are fork tender.
If you would like to thicken the soup, whisk together water and cornstarch to make a slurry. Stir into the stew and simmer for 4 to 5 minutes until thickened.
Remove bay leaves and stir in fresh parsley. Season with salt and pepper to taste. Serve.