Pick your method: Slow cooker, Instant Pot, or stovetop. All work. For true dump-and-go ease, use the slow cooker.
Mix the sauce base: In a bowl or directly in the pot, combine pesto, cream, broth, garlic, and cream cheese.
Stir until mostly smooth. It’s fine if the cream cheese is a bit lumpy; it will melt.
Season the chicken: Pat dry and sprinkle both sides with salt and black pepper. Keep it simple; the pesto carries the flavor.
Add to the pot: Lay the chicken in the sauce.
Sprinkle in half the Parmesan. Cover.
Cook it: Slow cooker: Low for 4–5 hours or high for 2–3 hours, until chicken is tender and reaches 165°F.
Instant Pot: Manual/high for 8–10 minutes (breasts) or 10–12 minutes (thighs), then quick release.
Stovetop: Simmer covered on low for 15–20 minutes, turning once, until cooked through.
Shred or slice: Transfer chicken to a plate and shred with two forks or slice into thick pieces. Return it to the sauce.
Finish the sauce: Stir in remaining Parmesan, a squeeze of lemon juice, and a little zest.
Add spinach and let it wilt for 1–2 minutes.
Taste and adjust: Add salt, pepper, or more lemon to balance the richness. If too thick, splash in more broth. If too thin, simmer a few extra minutes.
Serve: Spoon over pasta, rice, or veggies.
Top with extra Parmesan and a crack of black pepper.