The information provided here is not a replacement for a doctor. You shouldn't use it for the purpose of self-diagnosing or self-medicating but rather so you can have a more informed discussion with a professional TCM practitioner.
In Chinese Medicine burn infection can be treated by one herbs that we have on record. Here is the list below.
Because it is a herb specifically indicated to treat burn infection as can be seen on Biota Twig And Leaf's page.
Its main actions are: Cools Blood Heat and stops bleeding. Reduces Lung Heat, stops coughing and expels Phlegm. Relieves numb pain from Wind Damp. Cools Heat on the skin and helps burns healing.