Zephyr Test Cases on the JIRA Kanban

You can't do this directly because Jira Boards only accept Jira objects (Issues or Work Types as they're now called) and not third-party Zephyr objects.  But, you can add a Work Type of Task (for example) and create a link in that task to a dynamic Zephyr report that shows/lists all tests created 'today' or 'last week', etc.  You can even create that hyperlink in the Task subject and it should be clickable from the board card.

I've described this method in a previous post here: View for Users to See All Assigned Executions | SmartBear Community