There are a couple of ways to fetch dependent cookbooks with Chef, one is with knife (which requires installing Knife) and the other manually. Since Zend Server only ahs 2 dependencies, manual download is easier.

Download the apt cookbook from http://community.opscode.com/cookbooks/apt and the yum cookbook from http://community.opscode.com/cookbooks/yum Then download the Zend Server cookbook from the repo:

http://community.opscode.com/cookbooks/zendserver

however if you have knife installed, you could fetch the deps also by using the command: knife cookbook site download apt knife cookbook site download yum knife cookbook site download zendserver

place them all in a "cookbooks" directory where your Vagrant file is, and then edit your vagrant file, in the Chef section:

so you end up with:

your_vagant_dir
  VagrantFile
  cookbooks
    apt
    yum
    zendserver

  config.vm.provision :chef_solo do |chef|
    chef.cookbooks_path = "./cookbooks/"
  #   chef.roles_path = "../my-recipes/roles"
  #   chef.data_bags_path = "../my-recipes/data_bags"
  
  #These are the recipes we will run
    chef.add_recipe "zendserver"
  
  #Bootstrapping is optional - if you run into trouble, comment out the line below. This would only isntall ZS, but you will have to go through the welcome process.
    chef.add_recipe "zendserver::bootstrapsingle"
  #   chef.add_role "web"
  #
  #   # You may also specify custom JSON attributes:
    chef.json = {
    "zendserver" => {
      "version" => "6.1",
# can be 5.3, or 5.4
      "phpversion" => "5.4",
      "ordernumber" => "YOUR_ORDER_NUMBER",
      "licensekey" => "YOUR_LICENSE",
      "apikeyname" => "choose_a_key",
      "apikeysecret" =>"choose_a_secret_64_chars",
      }
  }
  end