depends on your state... in NC, pistol purchase permits are issued by the county sheriff... so even if you are within city limits, it should be sent to the sheriff not the chief of police...
just look up the sheriffs departments website and look for the contact info... send the copy with a post it note attached to the sheriff at the mailing address listed... on my post it note i simply stated "this is for your information, no action is required on your part"