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1
Stir together the olive oil, lemon juice, garlic, rosemary, and salt and pepper in a large bowl.
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2
Cut each chicken breast into 2 equal pieces (3 if they weigh 12 ounces or more) and place in the bowl.
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3
Stir together and refrigerate 15 to 30 minutes.
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4
Remove chicken from marinade and pat dry with paper towels (discard marinade).
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5
Place two sheets of plastic wrap (1 large sheet if you have extra-wide wrap) on your work surface, overlapping slightly, to make 1 wide sheet, and brush lightly with olive oil.
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6
Place a piece of chicken in the middle of plastic sheet and brush lightly with oil.
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7
Cover the chicken with another wide layer of plastic wrap.
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8
Working from the center to the outside, pound chicken breast with the flat side of a meat tenderizer until about 1/4 inch thick.
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9
(Dont pound too hard or youll tear the meat.
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10
If that happens it wont be the end of the world, youll just have a few pieces to cook.)
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11
Repeat with the remaining chicken breast pieces.
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12
Season the pounded chicken breasts with salt and pepper on one side only.
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13
Dredge lightly in the flour (you will not use all of it) and tap the breasts to remove excess.
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14
Turn oven on low.
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15
Heat a wide, heavy skillet over high heat and add oil.
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16
When oil is hot, place one or two pieces of chicken in the pan however many will fit without crowding.
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17
Cook for 1 1/2 minutes, until bottom is browned in spots.
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18
Turn over and brown other side, about 1 1/2 minutes.
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19
(Do not overcook or chicken will be dry.)
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20
Transfer to a platter or sheet pan and keep warm in the oven.
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21
If there is more than a tablespoon of fat in the pan, pour some off into a jar or bowl.
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22
Turn heat on burner down to medium-high.
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23
Add wine to pan and stir with a wooden spoon to deglaze.
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24
Add cherry tomatoes and cook, stirring often or tossing in the pan, until they begin to shrivel and burst.
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25
Add sugar and salt and pepper to taste and continue to cook, tossing the tomatoes in the pan and stirring often, for 5 to 10 minutes, until tomatoes have collapsed but are still intact.
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26
Top chicken breasts with the tomatoes, sprinkle with parsley and with Parmesan if using, and serve.