-
1
Preheat oven to 350F with rack in middle.
-
2
Pat chicken dry and sprinkle with 1 teaspoon salt and a rounded 3/4 teaspoon pepper. Heat oil with 1 tablespoon butter in a wide 3 1/2- to 5-quart heavy ovenproof pot over medium-high heat until foam subsides, then brown chicken in 2 batches, turning once, about 10 minutes total per batch. Transfer to a plate.
-
3
Meanwhile,
-
4
and pat dry.
-
5
Pour off fat from pot, then cook leeks, shallot, and 1/4 teaspoon salt in remaining 2 tablespoons butter, covered, over medium-low heat, stirring occasionally, until leeks are pale golden, 5 to 7 minutes. Add chicken, skin sides up, with any juices from plate, carrots, and wine and boil until liquid is reduced by half, 3 to 4 minutes. Cover pot and braise chicken in oven until cooked through, 20 to 25 minutes.
-
6
While chicken braises, peel potatoes, then generously cover with cold water in a 2- to 3-quart saucepan and add 1 1/2 teaspoons salt. Bring to a boil, then simmer until potatoes are just tender, about 15 minutes. Drain in a colander, then return to saucepan. Add parsley and shake to coat.
-
7
Stir creme fraiche into chicken mixture and season with salt, pepper, and lemon juice, then add potatoes.
