A number of approaches towards Enterprise Architecture (EA) management is proposed in literature, differing in the underlying understanding of the EA as well as in the description of the function for performing EA management. These plurality of methods and models should be interpreted as an indicator of the low maturity of the research area. In contrast, some researchers see it as inevitable consequence of the diversity of the enterprises under consideration. Staying to this interpretation, we approach the topic of EA management from a cybernetic point of view. Thereby, we elicit constituents, which should be considered in every EA management function based on a viable system perspective on the topic. From this perspective, we further revisit selected EA management approaches and show to which extent they allude to the viable system nature of the EA.