Is it something that is going to attract ants? Somethings I leave in there but if it is large enough to be an eyesore or if it will attract ants I get it out. It is not going to hurt either way.
I clean everything up each night. I don't want to attract any mice, rats, raccoons, etc to the coop at night. Plus I don't want my girls to eat any old, rotting food.
Depends if they're done with it our not, cabbage can take a few days so I let it stay same with sunflowers. Watermelon is done for in a few hours and only the rhine is left, which they are not going to eat. I just toss it in the compost pile.