Heat olive oil in a large pot over medium-high heat, add the diced chicken, and cook for 5 to 6 minutes until golden and cooked to 165°F / 74°C, then remove and set aside.
Add the minced garlic and thyme to the same pot, sauté for 30 seconds until fragrant, then pour in the chicken broth and bring to a boil.
Add the gnocchi and cook for 3 to 4 minutes until they float to the surface and are tender.
Stir in the heavy cream, cooked chicken, and chopped spinach, then simmer for 3 to 4 minutes until the spinach wilts and the soup is creamy.
Season with salt and black pepper to taste, then ladle into bowls and serve hot.