How do leaders select their top-level foreign policy appointees? Through a formal model of the domestic and intragovernmental politics surrounding an international crisis, I investigate the trade-offs shaping leaders’ appointment strategies. In the model, a leader selects a foreign policy appointee, anticipating how the appointment will affect the advice he receives in the crisis, the electorate's evaluation of his performance, and ultimately the policies that he and his foreign counterparts pursue as a consequence. The analysis uncovers a fundamental tension in the leader's ability to use appointments to advance his core political and policy objectives of deterring foreign aggression, obtaining accurate advice, and maximizing domestic approval: any appointment that advances one of these objectives invariably comes at the cost of another, and the leader's appointment strategy must balance across these trade-offs. Analyzing cross-national appointment patterns to the offices of ministers of defense and foreign affairs, I find descriptive evidence consistent with the model's predictions: leaders from dovish parties are more than twice as likely as leaders from hawkish parties to select cross-partisan and politically independent appointees, and such appointments are less likely for leaders of either party as they approach re-election.