As nouns the difference between parcel and carton
is that
parcel is a package wrapped for shipment while
carton is an inexpensive, disposable box-like creation fashioned from either paper, paper with wax-covering (wax paper), or other lightweight material. It is designed to hold things for a short period of time and be discarded or recycled after use.
As a verb parcel
is to wrap something up into the form of a package.
As an adverb parcel
is part or half; in part; partially.