Heat olive oil in a skillet over medium heat until shimmering and fragrant. Sear the chicken breasts for about 3-4 minutes per side, until golden brown and just cooked through. Remove and set aside.
Place the seared chicken into the slow cooker. Add crushed garlic, chicken broth, salt, pepper, and a pinch of nutmeg. Cover with the lid and cook on low for 4 hours until the chicken is tender and easily shreddable.
Once cooked, transfer the chicken to a cutting board and shred it using two forks or chop into bite-sized pieces. Return the shredded chicken to the slow cooker.
Add the cream cheese to the slow cooker and stir until melted and the sauce becomes silky and creamy. This takes about 2-3 minutes, and you'll notice the sauce thickening and turning smooth.
Gently fold in the fresh spinach, allowing it to wilt into the sauce. Cover and cook for another 5 minutes, until the greens are tender and vibrant green.
Give everything a good stir, taste for seasoning, and adjust with more salt, pepper, or nutmeg if desired. Let it sit uncovered for a few minutes to thicken slightly and meld the flavors.
Serve the creamy chicken and spinach over pasta, rice, or with crusty bread. Enjoy the rich, tender bites with a silky sauce coating every piece—perfect for cozy nights!