Sustainability and Industry 4.0 are trending concepts today. It is expected that Industry 4.0 brings a multitude of benefits toward more sustainable operations such as manufacturing. In manufacturing, monitoring and control approaches are the most common tools included in the Industry 4.0 strategy. In this context, this paper presents a literature review concerning to control and monitoring techniques for sustainable-manufacturing decision making in the era of Industry 4.0. The objectives of this paper are to evaluate the state-of-the-art of this trending topic and to propose new opportunities and challenges that should be addressed in future research.