It is the Legislative Branch that has the power to confirm the appointment of presidential appointments. They also have the power to declare war.
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The Legislative branch, more so the Senate, confirms or rejects proposed presidential appointments.
Congress
It falls to the Senate to approve appointments made by the President of the United States. These appointments encompass the Department of Justice, ambassadors, deputy secretaries, US attorneys, and general counsels.
Checks and balances. The Executive branch has power over (checks the power of) the Judiciary branch by way of choosing who to appoint. The Legislative branch has power over (keeps in check) the Judiciary branch by way of choosing whether to confirm the appointments. The Legislative Branch also has power over (keeps in check) the Executive branch because the appointments to the Supreme Court require their approval.
The US Senate can refuse to confirm appointments to the Judicial Branch.