Dear MarekTeams,
Thank you for reaching out to the Microsoft Community.
Based on your description, I understand that you're having trouble with the recent chats pane in Microsoft Teams taking up too much space on your screen and you are looking for an option to allow the chats pane to auto-hide and only open when you hover over it.
After reviewing the available options, I regret to inform you that currently, there isn't any feasible built-in option in Microsoft Teams that allows the chats pane to auto-hide and only open when you hover over it.
I also believe that some specific configuration or settings options should be developed under the Teams application, I do understand your concerns about how it can help you be more productive in your busy daily work schedule, but since it's related Microsoft 365 product services and features option under product design, I believe that the related product team can develop some convenient configuration based on customer requests.
Therefore, Microsoft recommend submitting feedback by going in Ideas · Community (microsoft.com)
This community team and the Microsoft product development team are separate. Therefore, for features suggestions or design queries, users need to submit feedback to the Microsoft product design team from their side. Once a user sends feedback through the above means, it will sent directly to Microsoft and routed to the relevant product team so that can review it to do specific development in different OS devices.
To see more details on how to submit feedback, see this article Learn how to provide feedback to Microsoft - Microsoft 365 adminsMicrosoft Learning.
I hope I have provided you with all the required process information for this current scenario. If you need any further information from our side, please feel free to do so.
I would really appreciate your precious time. Thank you again for your kind cooperation.
Have a good day.
Sincerely
Feroz Mahmud | Microsoft Community Moderator