Now in an interview with radio station France Inter, he said he would "love to see" Mr Macron make a gesture enabling him to live in the country.
However, he added that his ambition was to see whistle blowers given further protection in general.
One of the “saddest things” about his story was that “the only place that an American whistle blower can speak out today is not in Europe but in Russia”, he said.
Noting that he had already applied for asylum in France under Francois Hollande in 2013, he added: “It’s not about France. It’s about Europe, it’s about the world, this system.
“Protecting whistle blowers is not a hostile act. Welcoming someone like me is not an attack on the US.”
Mr Snowden’s sharing of classified intelligence information was one of the largest leaks in US history.
It included 41 PowerPoint slides outlining the NSA’s use of data mining to carry out mass surveillance exercises on the public.
Codenamed PRISM, the surveillance programme utilised by the NSA collected communications en masse from various American internet companies.
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Snowden initially fled to Hong Kong to leak the documents in 2013, before travelling to Russia where he was eventually granted asylum.
While his action is seen by many civil rights activists as a heroic act, US authorities want Mr Snowden to stand trial.
Current president Donald Trump called for Mr Snowden’s execution before he took office, and has since maintained a tough stance on the whistle blower.