Employment Law Questions? Ask an Employment Lawyer.
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Are you asking if it is legal for a manager to write up an employee for a violation?
Or for a manager to keep a list of employees he would like fired?
If so, then the answer is yes to both. The company sets guidelines and rules and if employees violate them, they can be written up. However, if the event is far in the past, it shouldn't matter as much as long as it isn't a continuing thing. But there is no set time limit for writing up a violation unless the company handbook or HR policies specifically impose a limit.
As for the manager keeping a list of people, while that is mean spirited, there wouldn't be anything illegal about that either. It is possible that upper management has told managers to identify employees that might be let go to cut staff and costs if things don't turn around. But the list doesn't mean anything unless the manager has the power to fire someone all by themselves.