A President is part of the Executive Branch, and is therefore subject to orders governing it.
Q: How do you end or overturn an Executive Order?
A: The President who issued an Executive Order can revoke it. Likewise, an incumbent President has the power to revoke an Executive Order issued by a predecessor.
Executive orders are issued by the President of the United States, acting in his capacity as head of the executive branch, directing a federal official or administrative agency to engage in a course of action or refrain from a course of action.
A President doesn’t issue executive orders to tell himself what to do (or not do). And he certainly has no authority to tell his successors in the White House what THEY must do.