Chicken wire will not keep predators out, it only keeps small animals in. Coyotes and foxes can chew or rip through it easily. “Hardware cloth” is better, but determined predators can get through at as well if the hutch is not well constructed and if they work hard enough at it. Growing up a group of stray dogs knocked my hutches over, ripped them open, and killed my rabbits (outdoors at the time for the same reason… mom didn’t want them inside), so I’m especially sensitive about this subject.
Not sure if it’s the same thing, but I looked up the “Frisco wooden rabbit run” on chewy and it doesn’t appear to have a floor, so it would not be predator safe. Ideally the whole thing would be elevated off the ground, but it should at least have a solid base.
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The answers provided in this discussion are for general guideline purposes only. The information is not intended to diagnose or treat your pet. Seek the advice of your veterinarian or a qualified behaviorist.