I have a PacMan frog that eats frozen small mice. And I’ve fed small mice to him that my cat occasionally catches. If they’re too big for the frog, I give them to the chickens, but only if they’re still alive. Chickens will ignore it if it’s not moving...in my experience. Perhaps others have seen differently, tho.
My flock in Florida loved the tree frogs. But just like yours with mice, the girls only went after the moving frogs.