Albert Barnes Commentary Deuteronomy 12:15

"Notwithstanding, thou mayest kill and eat flesh within all thy gates, after all the desire of thy soul, according to the blessing of Jehovah thy God which he hath given thee: the unclean and the clean may eat thereof, as of the gazelle, and as of the hart." — Deuteronomy 12:15 (ASV)

While a strict command is given that the old rule (Compare to Leviticus 17:3 and following) must be observed regarding animals slain in sacrifice, permission is now given to slaughter at home what was necessary for the table. The ceremonial distinctions did not apply in such cases, any more than to “the roebuck” (or gazelle) “and hart,” animals allowed for food but not for sacrifice.