The 19-year-old Mbappe followed up a domestic treble with Paris St Germain with a string of impressive performances in France's World Cup winning campaign.
Southgate has been named on the 11-man shortlist alongside the likes of Manchester City's Pep Guardiola for the "Best FIFA Men's Coach award" for 2018.
Later Tuesday, FIFA publishes candidate lists for the men's and women's best player awards.
The rest of the field is made up of club managers; Massimiliano Allegri took Juventus to yet another Serie A title, while Jurgen Klopp guided Liverpool to the Champions League final, though they were beaten by Real.
Federation Internationale de Football Association said it would name a final list of three nominees in early September, with the awards ceremony set to take place in London on 24 September.
Deschamps became only the third person to lift win the World Cup as both a player and a coach in the men's game.
Diego Simeone is also once again on the shortlist following Atletico Madrid's triumph in the Europa League, while England bossGareth Southgate has also been nominated. Selected journalists and national team coaches and captains will also have their say on who is the victor.