Preheat oven to 400 degrees F. Coat a 15 x 10-inch baking pan with the olive oil. Add chicken to pan, turning to coat both sides with oil. Season chicken with salt and 1/2 teaspoon of the paprika. Place lemons and shallots in pan around chicken. Roast 30 to 40 minutes or until skin is browned and chicken is done (175 degrees F).
Remove pan from oven. Squeeze lemon juice over chicken. Transfer chicken to a platter; cover with foil to keep warm. Transfer liquid from pan to a glass measure. Skim off fat; return liquid to pan. Stir in olives, butter, and remaining 1/4 teaspoon paprika. Roast 5 minutes to warm olives and melt butter. Spoon sauce, olives, and shallots over chicken. Serve with mashed potatoes or couscous.