Add oil to the oven and heat up your Dutch oven slowly.
Add chicken pieces (don't overcrowd) and brown on each side.
Set aside once completed.
Add a little more oil then onions stir and saute for around 1 minute then add the garlic saute for about another minute.
Ensure your Dutch oven is not too hot then add stock and wine. Stir and scrape the browned pieces that have adhered to the bottom of the oven. Adds to the flavor of the dish.
Add tomatoes, thyme, rosemary, and 2 anchovies or anchovy paste. Stir gently to combine.
Return the chicken to the Dutch oven.
Bring to the simmer cover and cook for 30 minutes.
When chicken cooked though add the sliced bell peppers. Cover again until the peppers soften to your liking.
Turn heat off and add the Kalamata olives before serving.