I have created a new team and now want to add this team in projects' permissions, while when going to people his new team is not in the list of my teams and in projects it is alos not available .
I have never been able to get the Team function to work for assigning roles, etc. if that is what you are doing. Others might have success with it.
I create a Group in Settings > User Management > Groups
Then you can use the Group in the People section of Project Settings.
Teams are a whole different animal but also very confusing.
If you read this: https://confluence.atlassian.com/cloud/teams-in-atlassian-products-976161199.html you can even see that Teams are not even bound to your site but to a user itself.
It's more like a social thing almost it seems where you can have a "Team" that works together and can share things but not based on a project.
Like @John Funk says, groups are the way to go here :)
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