Albert Barnes Commentary Leviticus 7:23

"Speak unto the children of Israel, saying, Ye shall eat no fat, of ox, or sheep, or goat." — Leviticus 7:23 (ASV)

This is emphatically addressed to the people. They were not to eat in their own meal what belonged to the altar of Yahweh, nor what was the perquisite of the priests. See Leviticus 7:33-36.