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Preheat oven to 350F. Heat the olive oil over medium-high heat in a large skillet.
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Combine the flour, paprika and sea salt in a shallow pan. Drop each chicken breast in the mixture and toss to coat completely.
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Drop each chicken breast in the hot oil and brown on both sides (should take only about four minutes). Remove chicken breasts and keep warm on a plate.
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Pour the lemon juice in the pan and stir to deglaze. Put chicken breasts in a baking dish and pour juice on top. Sprinkle with brown sugar and lemon zest.
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Bake for about 20 - 25 minutes, or until cooked through.