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Bring a large pot of water to a boil and cook the bowtie pasta until al dente. Reserve ½ to 1 cup pasta water, drain pasta.
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Pat the chicken dry and season on both sides with salt and pepper. Heat the olive oil in a large skillet over medium-high heat and sear the chicken for 5 to 6 minutes per side until golden and cooked through. Transfer to a plate and rest 5 minutes, then slice the chicken.
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Reduce the heat to medium, in the same skillet add the garlic and cook for 30 seconds until fragrant, stirring to avoid browning.
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Stir in the heavy cream, lemon zest and lemon juice. Bring to a gentle simmer and cook for 2 to 3 minutes until slightly thickened.
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Whisk in the Parmesan cheese until smooth and creamy. If the sauce becomes too thick, loosen with a splash of the reserved pasta water.
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Add the cooked pasta to the skillet and toss to coat in the sauce. Fold in the parsley.
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Top with sliced chicken, toss again and adjust seasoning with extra salt, pepper and lemon to taste. Garnish with parsley.