That would depend on the country's constitution.
It's not exactly clear what Executive Directors you may be referring to, or what agencies. The President DOES have the power to appoint and dismiss the Attorney General of the US though.
The Prime Minister is Nasir Muhammad appointed by an emirate Amir Sabah al-Ahmad. Emirate here refers to a hereditary title who has the power to appoint and dismiss the Prime Minister.
lots
God
No Congress does not have the power to appoint the Commander in Chief. The Commander in Chief is the President and US citizens have the power to elect the President.
cause its fun to power judges
the president
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President
Powers of Attorney do not need to be approved by a court. Any person can execute a Power of Attorney to appoint a personal agent. Courts appoint guardians.
The power to appoint judges to vacancies on the courts.
To make treaties and appoint them