Print Issues runs entirely within Jira within your web browser, and does not store any of your data to other servers. It does allow for export of Jira data onto your device, as that is its primary function.
For the purpose of improving the Print Issues add-on, we may collect anonymised usage & demographic data. The tools used to collect such data may be owned & operated by third-parties (eg. Google) and as such, the usage & demographic data collected may reside on the servers used by those third-parties.