According to beingstray.com, Bactine is safe to use on dogs. The primary focus when treating a dog's wound is to first stop the bleeding and then focus on preventing infection. Bactine is used to ward off infection.
The person treating the wound needs to muzzle and restrain the dog to prevent it from lashing out because of the pain. The next step is to apply pressure directly to the wound to stop bleeding. Shallow cuts can be cleaned with a mild soap and water. Once the bleeding has stopped and the wound has been cleaned, Bactine can be applied before bandaging.