Samsung US just revamped its microsite for the Samsung Gear 360 (reviewed here). The site still doesn't indicate when the Gear 360 will be released in the US. However, the revamp might be an indication of its impending release (could be July 23 according to one retailer).
If you are one of the first to order the Samsung Gear 360 from Samsung.com, you MIGHT receive a handsome leatherette hardcase, as did early orders in UK and Europe:
You can also register your Samsung Gear 360 here. However, registration is for US model numbers only.