The job ad says applicants should have "at least eight years' experience running a highly-regarded nation".
It also calls for "a friendly and warm attitude, and a Nobel Peace Prize".
Spotify CEO Daniel Ek gave the commander-in-chief a heads-up on Twitter, writing: "I heard you were interested in a role at Spotify. Have you seen this one?" before linking to the affectionate ad.
While the posting does not name Mr Obama, it nods to his best-known buzzwords, saying Spotify is "full of hope, and always open to change".
The "What you'll do" section says the candidate will identify new playlist ideas, "from a playlist for shooting hoops with your friends, to the perfect warm up playlist for addressing the nation about health care legislation that bears your name".
"Ever had Kendrick Lamar play at your birthday bash?" it asks - "We'd love to hear about it!"
Lamar joined Mr Obama at his 55th birthday, and the president has called him his favourite rapper.
The advert also takes a swipe at President-elect Donald Trump, saying the President of Playlists must "attend daily briefings", and "analyze data and performance of playlists ... using all available intelligence".
Spotify is a Swedish company, and according to Natalia Brzezinski - wife of the former US ambassador to Sweden - the president told him last week: "I'm still waiting for my job at Spotify... Cuz' I know y'all loved my playlist!"