Chicken In Red Wine Vinegar Sauce

Name: Chicken In Red Wine Vinegar Sauce
Ingredients: 3 tablespoons extra-virgin olive oil; 1 tablespoon unsalted butter; 1 whole chicken (about 4 pounds) cut into 10 pieces -- you could use all breasts or all leg portions if you prefer. I use free-range chicken.; Sea salt and freshly ground black pepper, to taste; 4 shallots, finely chopped; 1 cup top quality red wine vinegar (I use Heinz); 1 cup crème fraîche or heavy cream, preferably not ultrapasteurized; Finely chopped fresh (flat leaf) parsley, for garnish