Standard homeowners insurance policies usually cover animal damage to your property under dwelling coverage. This coverage applies if a wild animal damages your house's structure. Damage to personal property, however, is usually not covered.
You could also request additional living expenses coverage if you find that the wild animal has made your home uninhabitable. But remember that homeowners insurance can probably handle the cost of repairs as long as the animal damage was unforeseen and the damage is a structural element, such as damages to your home’s foundation, attached garage, front or side porches or windows.