Choose your method: Stovetop (fast) or slow cooker (hands-off). Both are dump-and-go, with tiny differences.
Stovetop base: Add onion, garlic, chicken, carrots, Italian seasoning, thyme, paprika, and chicken broth to a large pot or Dutch oven. Bring to a gentle simmer.
Cook the chicken: Simmer 10–12 minutes, uncovered, until the chicken is cooked through.
Remove chicken to a plate and shred with two forks.
Thicken the sauce: Whisk cornstarch with 2 tablespoons of water to make a slurry. Stir slurry into the pot and simmer 2–3 minutes until slightly thickened.
Add cream and gnocchi: Reduce heat to medium-low. Stir in cream and gnocchi.
Cook 3–4 minutes, stirring occasionally, until gnocchi is tender and sauce is silky.
Finish it: Return shredded chicken to the pot. Stir in spinach and Parmesan until the greens wilt and cheese melts. Taste and season with salt, pepper, and lemon juice if using.
Serve: Ladle into bowls and top with extra Parmesan, a sprinkle of red pepper flakes, and parsley.
Slow cooker option: Add onion, garlic, carrots, chicken, spices, and broth to the slow cooker.
Cook on Low 4–5 hours or High 2.5–3 hours. Shred chicken, stir in cream and gnocchi, cook 20–30 minutes more, then add spinach and Parmesan just before serving.