Thanks for asking and hope you are well.
There are multiple ways and apps that can help you. I assume you are not going to build this integration yourself, so we will concentrate below on Atlassian Marketplace Apps.
It really depends on what exactly you are looking for. Feel free to ask more details. Here are the options you got:
1. Advanced Microsoft Teams Jira Connector - allows configuration of notification filters and message on different Jira levels, create Microsoft Teams discussion channels from Jira. Also supports 2-way integration between Microsoft Teams and Jira. Paid App with excellent support.
2. Microsoft Teams for Jira - official integration from Atlassian. If your instance is small and you don't need many filters, basically a very simple integration - this is the way to go. It is free and provided by Atlassian.
3. Microsoft Teams for Jira & JSM - Smart Connect - a powerful integration mostly for Jira Service Management that helps you to setup simple notification, but allows you to store communication from Teams and talk with people in Teams from Jira.
Leo | Move Work Forward (the developer of Advanced Microsoft Teams Jira Connector)
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