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In a bowl, combine the chicken slices with 1 tablespoon of the paprika, 1/2 teaspoon salt, and a few grindings of pepper and toss to coat.
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In a large skillet over medium-high heat, warm 1 tablespoon of the olive oil, add the chicken, and cook, stirring occasionally, until lightly browned on all sides, 3 to 5 minutes total. Transfer to a plate. Set aside.
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Rewarm the skillet over medium-high heat. Add the remaining 1 tablespoon olive oil, the onion, and the peppers and cook, stirring occasionally, until the vegetables are soft, 5 to 6 minutes. Stir in the tomato paste. Add the chicken, bay leaf, chicken broth, and the remaining 1 tablespoon paprika, and bring to a boil. Reduce the heat and simmer until the sauce is slightly thickened, 4 to 5 minutes.
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Remove the skillet from the heat, stir in the sour cream, and season with salt and pepper. Serve over the rice and garnish with parsley, if using.