Hi,
As you have got wet cough for a week, if you can share few details about sputum Color, blood stained?, Any breathlessness, fever ..that may give an idea about its nature.
You may also need antibiotics. For cough you may take-
Syp. Brozeedex 1 TSF thrice daily,
Tab. Montair LC once daily for 5 days.
Next Steps
Consult physician.