During the event, Obama reportedly made no mention of his successor Donald Trump at the event, but apparently did take time to hit out at the EU.
Asked to list leadership qualities for the future, Obama advocated "more focus on putting women in power, because en seem to be having some problems these days".
In comments likely to raise eyebrows in Brussels, Obama said that although Europeans should not take for granted what the European project has accomplished since the end of World War Two, decision-making in the EU could be improved.
"I grant you that at the moment we have a temporary absence of American leadership on the issue", Obama said, to laughter in the audience packed with French CEOs and former ministers.
Some think Former President Barack Obama subtly made a jab at President Trump's excessive use of Twitter.
Stephane Cardinale Corbis Getty Images
Obama arrived at the presidential Elysee Palace at midday on Saturday.
Hidalgo said the C40, an worldwide network of mayors that she heads, would build ties with the Obama Foundation focusing on climate change.
Some also wonder if Obama boasted about his Twitter following, which is nearly double the size of Trump's.
"But despite that", Obama said, "you're seeing American companies and states and cities continuing to work on this issue".
He also planned to meet with former French President Francois Hollande.
"I think it's important to be mindful about both the power of these tools and also its limits and to understand it can be used for both good or for ill", he said.