Yes you can drink chicken stock or chicken broth.
The chicken stock or chicken broth is good for you and provides you with nutrients and minerals that are healthy for you.
When you have a cold or flu viruses the warm chicken stock or warm chicken broth is good for your cold or flu virus as well.
The chicken stock or chicken broth will not cure a cold or flu virus but it can help ease the symptoms.
I love drinking some chicken stock or chicken broth that is warmed up in a cup when I have a cold or flu virus as it's very good.