John Wesley on Leviticus 7:19

And the flesh - Namely of the holy offering, of which he is here treating; and therefore the general word is to be so limited; for other flesh one might eat in this case. That toucheth - After its oblation; which might easily happen, as it was conveyed from the altar to the place where it was eaten: for it was not eaten in the holy place, as appears, because it was eaten by the priests, together with the offerers, who might not come thither. The flesh - That is, the other flesh; that which shall not be polluted by any unclean touch. All that are clean - Whether priests or offerers, or guests invited to the feast.