Heat a large pot over medium high heat. Add 1 tablespoon of olive oil to the pot.
Season chicken breast with salt and pepper. Place the chicken breast in the heated pot and cook on both sides for 6-7 minutes or until cooked through.
While chicken is cooking chop the onion, carrots and celery.
When chicken is cooked through, remove and set aside to chop. Add the chopped veggies to the pot along with the two remaining tablespoons of olive oil. Sauté for 5 minutes. You do not want to cook them until they are completely tender because they will over cook when the dumplings are cooking.
Chop the chicken into small bite sized pieces.
Cut the biscuits into quarters and toss in flour.
Add the chopped chicken, chicken broth, half and half, bay leaf and thyme to the pot. Bring the liquid to a simmer.
Drop the biscuits over the top of the simmering pot of broth. Cover immediately and do not peak for 10 minutes. The steam will cook the biscuits.
After the 10 minutes the biscuits should be puffed up and no longer doughy. You can cut one open with a knife to test.
Garnish with fresh parsley and serve.