In a heavy-bottomed pot, melt the butter over medium heat.
Once melted, whisk in the flour and cook for 3-5 minutes, or until lightly golden and fragrant.
Add the garlic and cook for an additional minute.
Slowly whisk in the chicken broth, making sure to smooth out any lumps.
Continue whisking as you add the milk, sour cream, and cream of chicken soup.
Stir in the shredded chicken, mixed vegetables, and seasonings.
Bring the mixture to a gentle boil, then reduce the heat and simmer for 10 minutes, allowing the vegetables to cook through and the flavors to come together.
Add the gnocchi and cook for approximately 5 minutes, or until the gnocchi is tender and cooked through.
Serve warm and enjoy.