Greenhouse gas emissions are increasing global warming significantly, hence the need for manufacturing companies to include sustainability strategies in their supply chain to reduce emissions generated by their operations. This article aims to provide a systematic literature review on integrating sustainability issues into inventory management models to support scholars and practitioners in decision-making processes according to their market requirements. Thus, this paper discusses the most relevant papers published on inventory management topics that consider environmental criteria such as greenhouse gas emissions, ecological quality controls, unsold inventory, and fixed carbon costs. Therefore, we have extended the literature review to incorporate sustainability considerations in inventory models involving an industry’s environmental and social effects. As a result, in this article, a detailed analysis of the existing literature and related weaknesses provide meaningful discussions on crucial issues for future field research avenues in the field.