Recent years have witnessed the green growth as a renowned efficient approach to tracking the progress towards sustainable development. The paper is mainly aimed to propose an innovative extended approach based on Combined Compromise Solution (CoCoSo) and Interval‐Valued Intuitionistic Fuzzy Set (IVIFS); thus, it is called IVIF Combined Compromise Solution (IVIF‐CoCoSo). This study is the first effort that used the fuzzy sets theory and decision‐making technique (entitled IVIF‐CoCoSo) to rank and evaluate the indicators of green growth to sustainable manufacturing in the manufacturing sector. To reach the study objectives, a total of five indicators and 30 sub‐indicators for evaluation of green growth are collected from the existing literature review. Subsequently, this study has been extended using the IVIF‐CoCoSo approach for ranking, modeling, and evaluating the green growth indicators into sustainable manufacturing based on experts' opinions. The results of this study showed that the environmental and resource productivity of the economy indicators is more significant than the other indicators in the manufacturing sector. Moreover, findings confirmed the accuracy of the proposed method in solving the green growth problem, and comparison was also made between the results of the proposed method and some other Multi‐Criteria Decision Making (MCDM) methods.