VMWare ESX 5.5 introduces the ability to perform coredumps to a file instead of a partition.

To configure this, you need access to the ESX host's CLI (either through vSphere Management Assistant (vMA), directly on the host through console or SSH, or some other method). For this to work, you need "root" access (or the equivalent of it through vMA).

Once logged on, take a directory listing of the VMFS datastores to determine on which datastore you want to place the coredump files.ls -l /vmfs/volumes

You will see a list of datastore UUIDs as well as symlinks to those UUIDs. Use the symlinked names to figure out which UUID points to which datastore's logical name:For example:
DataSt  ...