Lower the heat and sprinkle flour over the mushroom mixture, stirring continuously. Gradually add chicken broth until the sauce thickens, then mix in sour cream.
Return chicken to the pan, coating it with the sauce. Simmer gently for about 10 minutes. Adjust seasoning if needed.
Notes
Store leftovers in the refrigerator for up to 3 days. Reheat gently and adjust with broth if needed.