How old is he?
How long has had had the cough?
The raspy noise with cough can be a concern as to him having trouble with narrowing of the airway of the upper trachea.
If croup he may benefit from treatment with a shot of Decadron to reduce inflammation...
I think from your description it would be best to have him checked ....
I worry about the cough and potential compromise to his upper airway even though he has no fever ...
Best for him to see a pediatrician I think
I hope that this information is helpful for you
Let me know if you have further questions or concerns or discussion.
I will be happy to get back with you.
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Thank you and Best Regards,
Anthony Bray MD