Some infection of the chest can also cause cough
in addition to flu
Is your cough dry or productive?
It will be good if you get the following investigations done:-
1. Complete Blood Count
2. Chest X-Ray PA view
Antihisataminics will help in reducing the cough. Take medicines after getting yourself examined by a medical professional.
I hope this is helpful to you. You can write again with the reports. It will be helpful for planning the treatment.