Heat 2 tablespoons of olive oil in a dutch oven or large saucepan over medium high heat.
While the oil heats, season the chicken with the salt and pepper. Add seasoned chicken thighs to the dutch oven and brown on each side for about 3 minutes each. Remove chicken to a cutting board and roughly chop into bite sized pieces.
Melt the butter in the dutch oven and add the carrots, celery, and onion. Sauté until soft, about 5 minutes, while scraping up any browned bits off the bottom of the pot. If necessary, you can add a splash of water to help with scraping up the flavorful brown bits.
Add the garlic and cook for 1 minute more.
Add the flour to the vegetables and continue to cook, stirring often, for two minutes. The flour will coat all the ingredients and it will be very thick.
Add in the chicken broth, potatoes, tomato paste, oregano, thyme, basil, paprika, rosemary, and bay leaves. Return the chopped chicken to the pot along with any juices on the cutting board.
Cover the pot with a lid and bring to a boil. Once boiling, reduce heat to a simmer and keep the lid askew. Simmer for 15 minutes or until the potatoes are soft.
Add in the peas and cream. Heat through and then taste and adjust with more salt and pepper, if needed.
Remove bay leaves and serve.