Without regard to anything you may have been told by others, and opinions differ greatly I know, geese are at best "watch" animals and not "guard" animals. They will make a noise to alert their flock of potential danger. The gander and/or broody female will sacrifice themselves to try to protect their young or their mate. They will not protect your chickens. They may frighten off a raccoon who has never seen them before but the racoon will be back and will probably kill your geese and your chickens. They can, and have, be killed by flying predators like large hawks, eagles etc. and can be killed by something as small as a fox that is determined to get a meal. You say you have coyotes but have not had a problem with them. I would add to that a resounding YET!!! If your geese are out in the evening without protection a coyote will hunt and kill it. Coyotes are night hunters and they will hunt and kill in packs. Geese are far to regal a bird to be just tossed out into a field by someone misinformed who will then come here and post a thread wanting to know why something killed their geese. A few plastic pink flamingos placed around your field will provide more protection to your chickens if for no other reason than the predators can't figure out what they are.
