Amazon plans to close four of its Amazon Fresh supermarkets in Southern California by mid-November as it reevaluates store performance. The Fresh store closings come a few days after Amazon announced the launch of a new private label grocery brand that ties its Amazon Fresh groceries and Happy Belly products under the brand Amazon Grocery. Amazon plans to close at least a handful of its nearly two dozen Amazon Fresh supermarkets in Southern California by mid-Nov. as it moves to readjust its ambitions. Amazon plans to close at least a handful of its nearly two dozen Amazon Fresh supermarkets in Southern California by mid-Nov. as it moves to readjust its ambitions. Amazon plans to close at least a handful of its nearly two dozen Amazon Fresh supermarkets in Southern California by mid-Nov. as it moves to readjust its ambitions.