Season the chicken with salt and pepper on both sides. In a heavy cast-iron pan, heat the olive oil on medium. Add the chicken. Brown it well on both sides. Add the garlic. Sauté for 1 minute. Remove the chicken from the pan, but keep the pieces warm.
Add the white wine and tomatoes to the pan. Mix well. Add the heavy cream. Bring the sauce to a simmer. Add the chicken back to the sauce. Cover the pan. Cook on low heat. Simmer until the chicken is cooked.
Add half the basil and all the oregano to the pan. Mix well. Quickly bring the sauce to a boil to thicken it.