The Narratives for Qlik extension works with both QlikSense Desktop and QlikSense Enterprise. The system requirements for those two products can be found at the following links:
For the Narratives for Qlik extension, additional requirements are:
1) Access to the Internet. The Narratives for Qlik extension operates as a web service. Therefore, your QlikSense worksheet will be sending data to, and receiving narratives back, from the cloud. Make sure any firewall or network rules you have set up allow you communicate with the internet.