Begin by heating a large stew pot over medium heat and melting the butter.
Next, combine the flour with the melted butter and stir until a smooth consistency is achieved.
Gradually add the chicken broth while stirring continuously to avoid any lumps.
Then, incorporate the shredded chicken, salt, pepper, garlic powder, and Italian dressing mix.
Bring the mixture to a boil and then reduce the heat to a simmer for a duration of 12 minutes.
Afterward, add the milk, lemon juice, white wine, and parsley to the pot.
Reduce the heat to low and add the cooked rice, ensuring that it is thoroughly coated with the mixture.
Cover the pot and allow the rice to heat through.
Finally, serve and enjoy the flavorful dish.