First you want to spatchcock your chicken (step by step photos are in notes). Using kitchen shears or a good knife remove the backbone by turning chicken breast side down on a cutting board and slicing along each side of the backbone to remove it. Make a small snip at the top of the chicken where the breast bones connect. Flip the chicken over and, using the heel of your hand, press between the breasts to flatten the bird. I like to snip off the wing tips as well.
(Save the backbone and wingtips in a freezer bag for stock!)
Rub the chicken with 1 Tbsp of the olive oil and sprinkle with 1 tsp herbs de provence, 1/2 tsp of the kosher salt and a few cranks of cracked pepper. You can do this up to a day ahead but make sure that you let the seasoned bird stand at room temperature for an hour before cooking it.
In a large roasting pan or casserole toss together tomatoes, shallots, garlic, fennel (if using), olives, remaining 3 Tbsp oil, remaining 1 1/2 tsp herbs de provence, 1 tsp kosher salt and cracked pepper until all is coated well.
Push vegetables away from the center of the pan to make room for the chicken. Lay your seasoned, spatchcocked chicken in the center. Pour the wine and broth around the pan over the vegetables.
Place chicken and vegetables, uncovered, in the 425 degree f oven for 30 minutes. After 30 minutes reduce temperature to 350 and continue roasting 30-45 minutes more.
Check the temperature after the second 30 minutes by inserting an instant read thermometer into the thickest part of the thigh. Depending on the size of the chicken it may take another 15 minutes. You want to take it out when the internal thigh temperature is 165.
When thigh reads 165 remove the chicken to a large carving board and tent with foil. Let it rest 15 minutes before carving (This is very important. Resting allows the juices to flow back into the bird keeping the meat juicy and also allows for the residual cooking that will bring the chicken to 170)
While chicken rests return the pan with veggies to the oven to continue cooking.
After 15 minutes the internal thigh temperature should be 170. Remove the vegetables from the oven and keep warm while you carve your chicken (this will be SO much easier since your chicken is spatchcocked!)
Arrange chicken on a large platter surrounded by tomato/olive mixture.
Enjoy!!