JIRA/HipChat - how to connect both?

Thanks for this space. We would like to connect JIRA and HipChat and then be able to insert a comment in HipChat for JIRA. Could you help me with that?

Sure, I’ll be happy to. Here you got the documentation on how to integrate JIRA and HipChat: Log in with Atlassian account

As of the inserting of the comment, you can find an add-on at the Atlassian Marketplace for that: Atlassian Marketplace

There are also some Cloud solutions that would do a similar thing (we have not tried those though):
https://zapier.com/zapbook/hipchat/jira/