There are several words and phrases that can be used as synonyms for the phrase "end quarrel." Some possible options include resolving a dispute, settling a disagreement, coming to an agreement, finding common ground, smoothing things over, making peace, burying the hatchet, patching things up, reconciling differences, and putting an end to the conflict. These terms all convey the idea of finding a way to bring a disagreement to a close and restore harmony between the parties involved. Whether through compromise, forgiveness, or simply a willingness to let bygones be bygones, these synonyms offer a range of ways to describe the ultimate goal of ending a quarrel.