The article considers the effect of management quality that nowadays becomes the driver of the effectiveness of social and socioeconomic systems that may not only decrease the system effectiveness, but lead to its complete destruction. It is suggested to analyze the typology of conflicts in the sphere of management from the viewpoint of observation of different management functions that are present in any type of companies. It is shown that the multi-level nature and complexity of possible changes in companies during the crisis period compel to detect most effective ways for resolving of conflicts in the sphere of management. At this, the true resolution of a conflict is provided only by the usage of the collaborative approach by all of the parties. However, even the compromise doesn't completely resolve the conflict as it is based on the opponents' wish to end the conflict by partial concessions. It is shown that conflicts in the sphere of management have the significant feature. The subject has certain rights and options to influence on management objects that are also subjects in the company system, and their effects are limited by the established rules and regulations. Such forceful administrative resolution of the conflict may be considered as the individual case of the competitive strategy. So, under conditions of the economic crisis, consultative mediation is the most effective way for resolution of conflicts that arise in the management sphere.