Itchy trachea and cough when you have a cold are caused by a combination of viral and bacterial colds from a Western medical perspective, and occasionally atypical pathogens such as mycoplasma and chlamydia infections can also occur. The following three major classes of drugs can be taken: the first major class of drugs, antiviral cold medicines, such as febavarin, ganciclovir, and cytarabine, all of which can treat itchy trachea and cough when you have a cold. The second major group of drugs, anti-inflammatory drugs for upper respiratory tract infection cold, such as respiratory quinolones, such as levofloxacin, penicillin, and aminoglycosides can also treat tracheal itching and cough during cold. The third major group of drugs, cold caused by atypical pathogens, can be taken roxithromycin, azithromycin, erythromycin and other drugs can treat cough symptoms.