Leviticus 7:23

Fat, of ox, or of sheep, or of goat - Any other fat they might eat, but the fat of these was sacred, because they were the only animals which were offered in sacrifice, though many others ranked among the clean animals as well as these. But it is likely that this prohibition is to be understood of these animals when offered in sacrifice, and then only in reference to the inward fat, as mentioned on Leviticus 7:4. Of the fat in any other circumstances it cannot be intended, as it was one of the especial blessings which God gave to the people. Butter of kine, and milk of sheep, with Fat of Lambs, and Rams of the breed of Bashan, and Goats, were the provision that he gave to his followers. See Deuteronomy 32:12-14.

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.

7:23 The general prohibition of eating fat, Leviticus 3:17 , is here explained of those kind of creatures which were sacrificed. The fat of others they might eat.