I would.
When my chickens catch mice, frogs, and small snakes they do not cook them before they eat them.  When I catch rabbits in my garden or certain critters like raccoons, rats, or possums I cut them open so the chickens can get to the insides and let them have at it.  I don't cook it first.  I do remove what's left of the carcass before dark and dispose of it so it doesn't attract predators.  When I butcher chickens I have one bucket for the stuff that I
I bury in my garden where the coyotes or dogs can't get to it to dig it up.  I have a second bucket for the bits that I'll feed back to the surviving chickens.  I don't cook that.
I see no reason that you'd need to cook them.  They are eating those organs, not you.