The question asks for the best way to properly shut down an application before the virtual machine instances are pre-empted. Pre-emption occurs when Google reclaims the resources of a virtual machine instance, so it is important to have a way to gracefully shut down an application before this happens.
The correct answer is: "Create a shutdown script and use it as the value for a new metadata entry with the key 'shutdown-script' in the Cloud Platform Console when you create the new virtual machine instance" - This is the best way to ensure that the application can be shut down gracefully before the instance is pre-empted. A shutdown script can be created and used as the value for a new metadata entry in the Cloud Platform Console, allowing the application to be shut down properly when the instance is pre-empted.
References: https://cloud.google.com/compute/docs/shutdownscript
"Create a shutdown script and use it as the value for a new metadata entry with the key 'shutdown-script' in the deployment manager" - While the deployment manager can be used to deploy and manage the virtual machine instances, it cannot be used to set a shutdown script as a metadata entry. The Cloud Platform Console must be used for this purpose.
"Use the CLI, Console or API to send your shut-down instructions before the instances are pre-empted" - While the CLI, Console or API can be used to send shut-down instructions, this is not the best way to ensure that the application can be shut down gracefully before the instance is pre-empted and introduces a huge amount of toil.
"Use the CLI, Console or API to move your workload before the instance is pre-empted" - This is not the best way to ensure that the application can be shut down gracefully before the instance is pre-empted. This introduces toil; additionally, if the aim was to migrate to a new host in event of pre-emption, Google provides pre-emption policies that allow you to do that.