Turn the instant pot on sauté mode. Let heat for a few minutes. Add the olive oil.
Pat the chicken thighs dry and season will with salt and pepper.
Brown the chicken thighs on both sides. Remove and set aside.
Add the carrots, celery, onion, garlic, potatoes, salt, and thyme.
Add the chicken back to the pot. Add the broth and the flour. Whisk until well combined.
Secure the Instant Pot lid and set to soup mode for 30 minutes.
Use the instant release method to allow the steam to escape.
Carefully remove the chicken from the broth and shred with two forks. Add the chicken back to the broth, stir in the red wine vinegar, taste for seasoning, and serve.