In a small bowl, mix together the salt, garlic powder, onion powder, and black pepper. Season the chicken breasts evenly on both sides.
Heat the olive oil and butter in a large skillet over medium-high heat. Sear the chicken on both sides until golden brown, about 2–3 minutes per side. Remove from heat and set aside.
In a bowl, whisk together the chicken broth and cornstarch until completely smooth. Pour the mixture into the bottom of a 6-quart slow cooker.
Whisk the heavy cream, garlic, Italian seasoning, salt, black pepper, red pepper flakes, and paprika into the broth mixture until fully combined.
Add the seared chicken breasts to the slow cooker. Pour the reserved olive oil and butter from the skillet over the chicken. Sprinkle the sun-dried tomatoes evenly over the top.
Cover and cook on LOW for 6–8 hours, depending on the size of the chicken breasts. Do not cook on high.
Once cooking is complete, remove the chicken from the slow cooker. Whisk the Parmesan cheese or farmer cheese into the sauce until smooth and creamy.
Return the chicken to the slow cooker, spoon the sauce over the top, sprinkle with fresh basil, and serve warm.