Easiest way would probably be a custom field (either a simple single select list with your team names or a group picker if you create groups for your teams).
You can then use quickfilters on your board to filter the issues (if you click on the team's quick filter you will only see the issues assigned to that team (using the custom field)) deselect the filter and you'll see all tasks again.
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Hi Atlassian Community! My name is Shana, and I’m on the Jira Software team. One of the many reasons this Community exists is to connect you to others on similar product journeys or with comparabl...
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