Be prepared to see replies here concerning use and merits of VPN connections - none of which have any relevance whatsoever to your issue.
Returning to your immediate problem, it is not unusual for performance or other issues to be encountered after initial release of a new major OS version - in particular with business and other edge-case functionality. In this respect, iOS/iPadOS/macOS are no different to any other Operating System. Third-party Apps and associated services may require update by the respective Developer or service operator to maintain full compatibility and expected performance.
In many cases, simply deleting and reinstalling the affected App - performing a forced-restart prior to reinstallation - will resolve latent performance or connectivity issues.
If deleting and reinstalling an impacted App does not resolve the problem, for third-party Apps and services such as Cisco Connect, you would be best advised to seek assistance from Cisco Support resources. Otherwise, consider contacting Apple Support for debug assistance. You can contact the Support Team using the Support link at top-right or bottom-left of this page.
Alternatively, you can initiate and manage your support cases from Apple devices using the excellent Apple Support App. If not already installed, the App can be downloaded from the App Store:
https://apps.apple.com/app/apple-support/id1130498044