For case study analysis, first & foremost is to understand and note the situations in the case. Further study of the case, must lead to identification of the problems which the organization, under study, is facing. These two factors, viz, Situations & Problems in the case, will help in further analysis, using strategic model. Case analysis could be done, using the concept of SWOT ( Strengths, Weaknesses, Opportunities and Threats ), ETOP ( Environmental Threat and Opportunity profile) & SAP ( Strategic Advantage Profile) analysis, Matrix analysis ( e.g. BCG, GE Nine Cell etc. ). The strategic decision on analysis, must lead to competitive advantage & value creation for the organization to overcome the problems.
This method is based on basic concept of strategic management. There could be other methods of analysis.
I agree with Jaharkanti that it depends entirely on the context and objectives of the case analysis. Also, tools are available for management practice, but methods for management research are still pretty rare. For an actual methodical approach, I recommend writings on the use of critical realist approaches in the field, for example:
Easton, G., 2010. Critical realism in case study research. Industrial Marketing Management, 39(1), pp.118–128.
Miller, K.D. & Tsang, E.W.K., 2010. Testing Management Theories: Critical Realist Philosophy and Research Methods. Strategic Management Journal, 158(May), pp.139–158.
If you could provide a little more context, it would be helpful. Are you asking about undertaking research in an organisation and therefore using a case methodology, or are you asking about how to 'solve' a case - as in the kind that are usually published at Harvard University and their ilk?
The case method of analysis involves studying actual business situations—written as an in-depth presentation of a company, its market, and its strategic decisions—in order to improve a manager's or a student's problem-solving ability. Cases typically investigate a contemporary issue in a real-life context.
Start with defining the identification of the problems and using in case analysis the management concept of SWOT ( Strengths, Weaknesses, Opportunities and Threats )