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Countries with high energy demand but limited renewable energy potential are planning to meet part of their future energy needs by importing green hydrogen. For potential exporting countries, in addition to sufficient renewable resources, industrial preconditions are also relevant for the successful implementation of green hydrogen production value chains. A list of 36 "Green H2 Products" needed for stand-alone hydrogen production plants was defined and their economic complexity was analyzed using international trade data from 1995 to 2019. These products were found to be comparatively complex to produce and represent an opportunity for countries to enter new areas of the product space through green diversification. Large differences were revealed between countries in terms of industrial preconditions and their evolution over time. A detailed analysis of nine MENA countries showed that Turkey and Tunisia already possess industrial know-how in various green hydrogen technology components and perform only slightly worse than potential European competitors, while Algeria, Libya, and Saudi Arabia score the lowest in terms of calculated hydrogen-related green complexity. These findings are supported by statistical tests showing that countries with a higher share of natural resources rents in their gross domestic product score significantly lower on economic and green complexity. The results thus provide new perspectives for assessing the capabilities of potential hydrogen-producing countries, which may prove useful for policymakers and investors. Simultaneously, this paper contributes to the theory of economic complexity by applying its methods to a new subset of products, and using a dataset with long-term coverage. • HS code list of 36 technology components for off-grid green H2 production. • Identified components and related goods are comparatively complex to produce. • China achieved a globally unique increase in relevant exports from 1995 to 2019. • In the MENA region, Tunisia and Turkey score the highest on H2-related green complexity. • Fossil fuel exporters have below-average industrial economic and green complexity. [ABSTRACT FROM AUTHOR]