"Like stock markets do a roadshow, we should outline the potential of investments in energy infrastructure," Oettinger told a European Network of Transmission System Operators (ENTSO-E) conference.
It would take place "in the context of the legislative proposal on infrastructure we will present before the summer," he added.
His speech came a day after Nicholas Stern, the British economist and academic who outlined the economics of climate change, called on the EU to improve the way climate action was communicated.
"We have not yet been persuasive enough," Stern told the European Parliament earlier this week. "We can and should do better in marketing and making our arguments."
"The risks we are dealing with are immense, essentially existential in terms of the relations between humans and the planet."
Without action now, Stern put the chances of five-degree global warming by the end of the century at between 30-50%. The last time the planet was so hot was 30 million years ago.
That was why what he said "hesitations" by Europe and "stepping back" by the United States on the actions needed to counter climate change were "so worrying".
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