Both are the free versions, so they don't have all the fancy bells and whistles as the awesome licensed versions.
It took a bit of doing, but it's relatively straightforward.
1. Upgrade VMWare player (if necessary)
I realized that I was using version 3.0, and was a 'few' versions behind. Newer versions contain the OVFTool, which we will use to create the ESXi ready OVF.
Visit here: http://www.vmware.com/products/player
2. Upgrade and Reboot your pitiful workstation.
3. Read the VMWare OVFTool guide. Or not.
4. Login to the Virtual Machine in VMWare Player and uninstall the VMWare Tools. Reboot VM.
5. When VM boots, ignore any driver errors. Do a clean shutdown.
6. Export the OVF from the VM
Open Command Prompt as Administrator
cd C:\Program Files\VMWare\VMWare OVF Tool
Make sure the tool works, run the help
You should be presented with a range of flag options.
Export the OVF
ovftool "C:\Path to VMname.vmx" "C:\Path to place OVF"
If the output does not look like this, it might be a good idea to check the documentation.
Login to your ESXi Host
Click File -> Deploy OVF Template
Browse to "C:\Path to place OVF" as specified in step 6.
Use defaults, or configure accordingly.
When completed boot VM in ESXi, enable the network adapter and update the IP/Hostname or any other relevant configuration.