With the release of version 5.6.0 of the Jenkins Integration for Jira app for Jira migrations can now be done manually next to automatically as part of your Jira Cloud Migration Assistant migration plans.
Not all features available in the server/data center version are available in the cloud version of the app and visa versa. See the table below for differences.
None of these differences have an impact on the ability to migrate data, these differences only effect how the app shows data within Jira.
JQL Functions are not available in the Jira Cloud version of the app, but there are indexed fields available to get similar usability of Jenkins data within JQL.
Migrate from any Jira instance to any other Jira instance FEB 2022
App data can be migrated from any Jira instance to any other Jira instance using the build in Export and Import feature. Using this you can export either the app configuration, Jenkins sites, or automation rules, or a combination of these three and import them in another Jira instance.
You can even combine the app data from multiple instances into a single instance.
Checkout the documentation on the details.
Automated Migrate from server to cloud using the Jira Cloud Migration Assistant oct 2020
Automated migration of app data is supported via the Jira Cloud Migration Assistant app.
Simply install the Jira Cloud Migration Assistant and the upgrade the Jenkins Integration for Jira app to the latest version available, and migrate all your Jenkins data within Jira to your Jira Cloud instance.