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In a slow cooker, toss together the carrots, celery, onion, and flour. Place the chicken on top and season with the poultry seasoning, 1 teaspoon salt, and 1/2 teaspoon pepper. Add the broth.
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Cover and cook until the chicken and vegetables are tender, on low for 5 to 6 hours or on high for 2 1⁄2 to 3 hours.
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Start biscuits about 45 minutes before serving. Or prepare the Easy Drop Biscuits (if using).
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Ten minutes before serving, add the peas, cream, and ½ teaspoon salt to the chicken and stir to combine. Cover and cook until heated through, 5 to 10 minutes more.
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To serve, place the bottom halves of the biscuits in shallow bowls, then top with the chicken mixture and the remaining biscuit halves.