This topic seemingly comes up every other month on average meanwhile, see @daniel’s last summary of the state of affairs in How do you prepare your apps for a new version of Jira? Can Atlassian give us a heads up?.
Besides using @pvandevoorde’s advise to test and ensure that your app is actually compatible with newer Jira versions, you might also want to poll the Atlassian Marketplace REST API to see when a new version is actually made available for compatibility markup in your app’s listing.
Both the polling as well as the compatibility markup adjustment can in theory be fully automated (of course, you most certainly want an approval step to ensure you have green tests all around), and several fellow vendors are offering solutions for some aspects of this, for example:
- @remie’s https://iapetus.fyi/ (see Release notification - #2 by remie)
- Mibex Software’s ShipIt to Marketplace for Bamboo app