Heat olive oil in a large pot over medium heat.
Add the cubed chicken and cook until browned.
Stir in onion and garlic; sauté until softened.
Add carrots, frozen peas, and sprinkle with flour.
Pour in chicken broth, then add heavy cream, thyme, salt, and pepper.
Bring the mixture to a simmer, then add the gnocchi.
Cook until gnocchi are tender, about 3-5 minutes.
Stir in cheese until melted and well combined.
Season to taste and remove from heat.
Serve hot, garnished with fresh parsley.