Methanol is a platform chemical for the production of important industrial chemicals and e-fuels with a steadily growing demand. Moving from CO hydrogenation, still dominant today, to CO2 hydrogenation with green hydrogen will play a key role in future carbon neutrality. The University of Freiburg has found the oxidative fluorination of Cu/ZnO- containing catalysts to be useful in converting CO2 into methanol more selectively and efficiently. The focus of this research has moved from binary Cu/ZnO-catalysts as a model system to a range of ternary systems including zirconia-containing Cu/ZnO/ZrO2-, iron-containing Cu/ZnO/FeOx- and the promising magnesium-containing Cu/ZnO/MgO-catalysts.