Hi @Volkmar Jaeger ,
If the new owner doesn't have the permission as a Content Manager role, he/she couldn't modify the subscription settings.
Owner could delete the subscription or run the subscription with minimum privilege.
If he/she doesn't have the permission to modify the report, he/she couldn't change change anything in their subscriptions.
Please refer:
Grant correct permissions to the new owner could resolve the issue easily.
Zoe
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