Hurricane season starts June 1; zurichna.com offers claim-filing information, news, links SCHAUMBURG – The 2008 hurricane season officially began on June 1. One important destination for customers and distributors is the Zurich Hurricane Information Center located on www.zurichna.com This site is a vital resource during the hurricane season, which runs through November 30. It provides information on how customers can report hurricane claims and houses reading material and resources to assist distributors and customers in managing the catastrophic risks that hurricanes present.