Currently, there is no feature to integrate HipChat with Team Calendars that is available in Confluence however it is possible to integrate HipChat with Google Calendar but we do not support the official integration, it is supported by third-party vendor, Zapier. You can check this out for details: https://zapier.com/zapbook/google-calendar/hipchat/
You may want to give this app a try https://github.com/drnushooz/hipchatbuddy. I had same problem with HipChat and needed to create a standalone integration with Google Calendar to automatically change my status based on meeting. Feel free to file bug/feature requests and I will be happy to fix them .
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