Hello I'm Dr Nikita Iyer. The feeling of air passing through the ear could either be due to a dysfunction in the tube connecting the nose and ear called the eustachian tube. This could be exacerbated by an episode of cold causing a pressure difference inside the ear.
Next Steps
I would suggest visiting an ENT doctor to get an examination of the eardrum.
Health Tips
Avoid using any ear drops prior to the ENT examination