In the ShoreTel word this is called "Delayed Ringdown", and is very simple to setup.
From within the Connect Director, select the extension that you wish to enable for "Delayed Ringdown" from the "Administration --> Users --> Users" field.
Select the "Telephony" tab.
Scroll down (the last three (3) options are what we are looking for)
A description of the fields required is:
Click the "save" button and we are done.
When the phone configured now goes off-hook it will automatically dial the configured extension with a delay of however many seconds.