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In a medium dutch oven or large pot over medium heat, add 2 tablespoon of olive oil.
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Dice half of an onion and add to the pot. Dice 1/2 cup of carrot and add in with the onion and allow them to cook for 4 - 5 minutes until they are softened. Add the minced garlic and cook another minute.
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Place the canned tomatoes into the dutch oven, reduce the heat to a low, Add in The oregano and the bays leaves put the lid on and leave it to simmer for at least an hour.
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After an hour blend the sauce until smooth with an immersion blender. Place the lid on and let simmer while you finish the rest of the rest of the dinner.
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Bring 4 cups of water to a rolling boil, add a 3 tablespoons of sea salt. Cook pasta 2 minutes less than package directions. I used Casarecce pasta, but Rigatoni would work great here. Remove from heat drain, but don't rinse and set aside as you prepare the chicken.
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In a cast iron skillet or large pan heat one tablespoon of olive oil and one tablespoon of unsalted butter.
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Salt and pepper both sides of the chicken breast and dredge into the flour. Shake off the excess flour and place into the skillet. Cook 2-3 minuets per side or until nicely browned.
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Into the skillet add a splash of white wine, 1/4 cup of chicken stock, the lemon wedges and a couple of sprigs of thyme and let it all simmer for 4 to 5 minutes. Remove the chicken from the skillet set aside and let cool slightly.
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Add 8 ounce of cream cheese to the sauce let it melt into the sauce and give it a good stir. Add in the pasta. Chop up the chicken and add to the sauce. Add 1/4 cup grated parmesan cheese and give everything a good stir.
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Serve while warm. Optional top with some additional grated parmesan and some fresh basil.