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In a large Dutch oven or soup pot, melt the butter over medium heat.
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When the butter is melted, add the chicken breasts to the pot. Cook for ten minutes, until brown on each side. Remove the chicken, place on a small plate, and place off to the side for later.
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Add the celery, potato, onion, carrot, and red pepper to the pot. Sauté for five minutes while stirring the vegetables around.
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Add flour into the pot. Stir and cook for one minute until all the butter and liquid has been absorbed.
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Add the chicken stock to the pot along with the seasonings and stir. Increase the heat to medium/high. Bring to a simmer. Simmer for ten to twelve minutes with the lid on.
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Cut the chicken. Add the chicken, corn, and seasonings to the pot. Simmer an additional ten minutes with the lid on.
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After ten minutes, add the whole milk and cook for fifteen more minutes, uncovered.
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Add the chopped parsley and remove from heat. Cool for a few minutes before serving.