The composition was recorded by the two during Jarre's visit to Moscow.
For Jarre, it was fun to work with Snowden on the new music project. The former CIA agent has been "a source of inspiration" for him, the musician said.
In return, Snowden stated that the "joint work on such a big project was a real pleasure."
The official release of the composition as part of Jarre's new album Electronica 2: The Heart of Noise is scheduled for May 6, 2016.
In June 2013, former CIA contractor Snowden leaked online classified information revealing global surveillance programs run by US intelligence services. He then had to flee the United States to escape charges of treason and imprisonment.
In 2013, Russia granted Snowden temporary asylum for one year on condition that he would cease his activities against the United States. On August 2014, he received a three-year residence permit, which would allow him to travel not only in Russia but also abroad.