Matthew Poole and continuators on Leviticus 7:19

19 And the flesh , that toucheth any unclean thing , shall not be eaten: it shall be burnt with fire, and as for the flesh , all that be clean shall eat thereof.

To wit, of the holy offerings, 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, Deut. 12. 15, 22.

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.

i. e. The other flesh, that which shall not be polluted by any unclean touch.

Whether priests or offerers, or guests invited to the feast. See 1 Sam. 9. 12. and 20. 26. Both the flesh and the eaters of it must be clean.