In a large skillet, heat the olive oil over medium heat. Add the minced garlic and sauté for about 1 minute until fragrant.
Add the shredded chicken to the skillet and cook for 3-4 minutes until heated through.
Stir in the heavy cream, chicken broth, lemon juice, lemon zest, and dried thyme. Bring the mixture to a gentle simmer.
Add the potato gnocchi to the skillet and cook according to package instructions, usually about 2-3 minutes, until they float to the top.
Stir in the chopped spinach and cook for an additional 1-2 minutes until wilted.
Season with salt and pepper to taste. Remove from heat and stir in the grated Parmesan cheese until melted and creamy.
Serve hot, garnished with fresh parsley.