Appointment of the prime minister of France requires no approval by the parliament either, but the parliament may force the resignation of the government. In these systems, it is possible for the president and the prime minister to be from different political parties if the legislature is controlled by a party different from that of the president. When it arises, such a state of affairs is usually referred to as (political) cohabitation.
Try to answer this question if possible (otherwise reply "unanswerable"): What can the French parliament cause in order to oust the prime minister?
resignation of the government