Heat some vegetable oil in a large skillet or pot over medium heat.
Fry the plantain slices until golden brown on both sides. Remove and set aside.
In the same skillet, brown the chicken pieces on all sides until cooked through. Remove and set aside.
In the same skillet, add a little more oil if needed, then sauté the onions, bell peppers, carrots, and garlic until they become tender.
Stir in the tomato paste, thyme, paprika, salt, and pepper. Cook for a couple of minutes to enhance the flavors.
Return the chicken pieces to the skillet and pour in the chicken broth. Cover and simmer for about 15 minutes, or until the chicken is tender and cooked through.
Add the fried plantains to the skillet and gently mix them with the chicken and vegetables. Cook for an additional 5 minutes to allow the flavors to meld together.