Heat a large dutch oven over medium high heat and add 1 tablespoon of oil.
In a large bowl, sprinkle 3 tablespoons flour over the chicken thighs and toss until well coated.
Add the chicken thighs into the dutch oven and brown on all sides. Transfer browned chicken to a clean bowl and set aside.
In the same dutch oven, reduce the heat to medium and then add the onions, garlic, celery, and carrots. Saute for 3-5 minutes unitl the onions are clear.
Sprinkle the remaining 2 tablespoons of flour in the bottom of the pot and stir to combine. Continue to sauté for an additional 1-2 minutes, stirring often.
Slowly add the chicken broth a little at a time and gently scrape the bits from the bottom of the pan.
Return the browned chicken to the pot.
Add the potatoes, heavy cream, dried herbs, salt, and pepper and stir to combine.
Bring the pot to a boil, cover with a lid, and then reduce the heat to a low simmer.
Cook covered for 30 minutes, or until the potatoes are fork tender. Stir occasionally.
Add the frozen peas in the last 5 minutes of cooking.
Taste and adjust the seasoning before serving.
When ready to serve, garnish with fresh chopped parsley or choice of herbs.
Notes
Make sure that the chicken is completely coated with flour so that it browns on the outside.
When you are searing the chicken, you don't have to cook the chicken all the way through.
When you add the flour to the pot, make sure that you stir it often. It will start to brown slightly.
Add the chicken broth slowly, and stir constantly so that you don't have a lumpy sauce.
I recommend that you cook with the lid on the pot so that your moisture doesn't evaporate while it is cooking.
You can adjust the thickness of your sauce by adding more chicken broth if you want it thinner or a cornstarch slurry if you want it thicker.