Cut the chicken breast into bite-sized pieces. Peel and finely chop the onion and garlic. Dice the bell pepper.
Heat the oil in a large skillet or pot and brown the chicken pieces over medium heat until lightly browned. Remove the chicken from the skillet and set aside.
Add the chopped onion and garlic to the skillet and sauté in the chicken drippings until the onions are translucent.
Add the diced bell pepper and sauté briefly. Sprinkle the flour over the mixture and stir well until lightly toasted. Then add the sweet and hot paprika.
Pour the chicken broth and heavy cream into the skillet and stir until a creamy sauce forms. Simmer over medium heat for a few minutes, until the sauce thickens slightly.
Return the browned chicken pieces and peas to the sauce and simmer over low heat for about 10 minutes. Season the chicken paprikash with salt and pepper to taste.