In the past few decades, most high-income countries have improved environmental and labor conditions on their respective territory while consumption has strongly increased. One main enabler is international trade. The latter allows for the geographic dissociation of consumption benefits from adverse production impacts. Green economy strategies are seeking to reduce such indirect international externalities by making not only domestic, but also global supply chains more sustainable. Support by consumers and citizens is a key prerequisite for successful policy interventions to this end. To estimate how strong public demand for sustainability regulation of global supply chains is, we conducted survey experiments with representative samples in the world’s 12 largest high-income importing economies with democratic political systems (N 24,000). These account for 45 percent of imports worldwide. The focus is on which policy designs for sustainability governance of international supply chains are likely to be acceptable to the public. The main finding is that, overall, citizens prefer policy instruments with strong reporting requirements and enforcement provisions applied from mid-sized to large firms. These policy preferences are surprisingly consistent across all 12 countries, something we did not expect given vast differences in economic structures and political/regulatory cultures. Within countries, variation in preferences for increased transparency regulation and enforcement is largely driven by environmental concern and political ideology. Our results point to substantial, cross-national public opinion mandates for new policies to green global supply chains.