Just before sauteing sprinkle the chicken breasts with salt and pepper, roll then in the flour and shake off excess flour.
Pour clarified butter into skillet to a depth of about 1/16". Set over moderately high heat. Add the breasts. Adjust heat as necessary to keep the butter from getting any darker than a deep yellow.
Saute for three minutes, then turn breasts and saute an additional 3 minutes. Press the tops with your finger. As soon as they are springy to the touch, they are done. Remove to a warm plate, leaving the butter in the pan.
For Sauce: after removing the breasts from the pan, add the shallots to the remaining butter and saute for a moment. Add the wine and stock and boil down rapidly over high heat until the liquid is lightly syrupy. Pour over the chicken and sprinkle with parsley.