You must have TestComplete 14.20 or later.
By default, the Zephyr for Jira plugin adds the Test issue type to Jira. However, issue types in Jira, including the Test type, can be renamed to suit your needs better. If your Jira project to which you want to send your TestComplete test results uses a custom name for Zephyr test cases, configure your TestComplete project to access Zephyr test cases by using that custom name:
Locate the TestComplete project file (.mds) on your hard drive. It is an XML file that describes the project structure and settings. The easiest way to do it is to right-click your TestComplete project in Project Explorer and then click Show in Explorer.
Open the project file (.mds) in any text or XML editor of your choice.
ZFJ_TestIssueTypeName setting. It specifies the name of the issue type used for Zephyr test cases in your Jira project:
<setting name="ZFJ_TestIssueTypeName" type="5" value="Test" />
Replace the default value attribute with your custom Zephyr test case name. For example:
<setting name="ZFJ_TestIssueTypeName" type="5" value="Custom Zephyr Test Case" />
Save the changes and close the file. If needed, reload your project in TestComplete to apply the changes.