Prepare the Sauce
In a medium bowl, whisk together the cream cheese, cream of chicken soup, Italian dressing mix, chicken broth, melted butter, and white wine (if using) until smooth.
Layer the Ingredients
Place the chicken breasts or thighs in the bottom of your crockpot.
Pour the prepared sauce over the chicken, ensuring each piece is well coated.
Cook the Chicken
Cover the crockpot with its lid and cook on low for 4–6 hours or high for 2–3 hours, until the chicken is tender and cooked through (internal temperature of 165°F).
Cook the Pasta
About 15 minutes before the chicken is done, prepare the angel hair pasta according to the package instructions. Drain and set aside.
Shred or Serve Whole
For a shredded texture, use two forks to shred the chicken in the crockpot. For whole pieces, leave the chicken intact.
Combine and Serve
Serve the creamy chicken over a bed of angel hair pasta. Garnish with fresh parsley or Parmesan cheese if desired.