Lightly grease a slow cooker. Add the 1 pound chicken breasts, cubed, 2 cups carrots, sliced, 4 cups potatoes, peeled and diced, and 1 medium onion, finely diced.
Add 2 cups low sodium chicken broth to the slow cooker, along with 1 teaspoon salt, 1/2 teaspoon pepper, and 1 teaspoon dry thyme. Cover and cook on low for 6 hours.
About 30 minutes before serving, turn slow cooker to high. Whisk together the 1 cup heavy cream and 3 tablespoons flour until smooth. Stir into slow cooker and mix well. Cook for an additional 30 minutes on high, or until sauce is thickened and bubbly.
Meanwhile, preheat oven to 450 degrees. Unroll pie crusts and cut each into 8 wedges. Place wedges on large baking sheets and bake for about 8 minutes, or until golden brown.
Five minutes before serving, stir 1 cup frozen peas and 1-2 tablespoons fresh parsley, chopped into the slow cooker.
Ladle mixture into bowls and top with one or two pie crust wedges.