Almost. But not quite like that.
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You have the floor = It is your turn to speak.
Sometimes you have a chairman, chairwoman, or similar whodecides who "has the floor" at any one time.
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You could say it is their job to decide "who has the floor".
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You can definitely say thjat it is their role to "say when a classmate can speak".
I mean to ask whther I can tell a student that their role is "to give the floor" in their team.