Project quality management in general and IT projects quality management in particular has been a research topic for several decades. However, project quality management is usually considered a subpart of project management per se, which includes such activities as project initiation, team formation, responsibilities allocation, and others. In this position paper, we abstract from the abovementioned activities and focus on only one perspective in project management, which, to the best of our knowledge, has not been intensively studied. We propose to focus on the perspective of Systems of Systems in project quality management paying more attention to the systems that are related or belong to a particular IT project. For this purpose, the questions for further research are defined regarding three aspects of IT project quality management, namely, product, process, and inputs of an IT project. The questions are derived based on common features of systems of systems and the enterprise architecture model represented in ArchiMate.