Place the chicken breasts in the slow cooker. Add the sun-dried tomatoes, minced garlic, Italian seasoning, salt, and black pepper.
Pour the chicken broth over the top. Cover and cook on low for 6 hours or on high for 3 hours until the chicken is tender.
Remove the chicken and shred it with two forks. Return the shredded chicken to the slow cooker.
Stir in the heavy cream and Parmesan cheese. Add the fresh spinach and let it wilt for 5 minutes.
Meanwhile, cook the pasta in a separate pot according to package directions until al dente. Drain the pasta.
Add the drained pasta to the slow cooker and stir everything together until well coated.
Serve hot, topped with the chopped fresh basil.