Teams Manager doesn't directly alter the team naming process outside of the initial request. When the Admin is approving a team, they're able to edit the name in the approval pop-up.
Otherwise, to rename an existing team:
Navigate to the Chat tab in Microsoft Teams.
Find the team you'd like to rename.
Click the … button next to its name.
Select Manage team.
Switch to the Settings tab and click Edit.
Edit the team name as desired and click Done.
If you'd like to standardize team naming across your tenant, we highly recommend utilizing Naming Conventions through Teams Manager.