The Argentine tactician guided the Whites back into the Premier League for the first time since 2004 last term as they surged to the Championship title in style.
World football's governing body has released the shortlist for its seven individual awards to be presented at The Best FIFA Football Awards on December 17.
Bielsa has surprisingly joined Liverpool manager Jurgen Klopp on the five-man shortlist.
The German steered the Reds to their first top-flight title for three decades last season as they swept away all in their path to win the Premier League by a whopping 18-point margin.
Bayern Munich boss Hansi Flick and Sevilla's Julen Lopetegui are also in consideration after winning the Champions League and Europa League respectively, along with Real Madrid's Zinedine Zidane after his domestic title triumph.
The Best FIFA Men's Coach nominees
Marcelo Bielsa (Leeds United)
Hans-Dieter Flick (Bayern Munich)
Jürgen Klopp ( Liverpool)
Julen Lopetegui (Sevilla)
Zinedine Zidane (Real Madrid)
Meanwhile, FIFA also revealed the candidates shortlisted for FIFA Best Women's Coach.
Future England manager Sarina Wiegman has been shortlisted, along with Emma Hayes, who has three of her Chelsea players shortlisted for women's player of the year.
The Best FIFA Women's Coach nominees
Lluís Cortés (Barcelona)
Rita Guarino (Juventus Women
Emma Hayes (Chelsea Women)
Stephan Lerch (Wolfsburg)
Hege Riise (LSK Kvinner
Jean-Luc Vasseur (Lyon)
Sarina Wiegman (Netherlands)
Ji So-yun, Sam Kerr and Pernille Harder are joined on the shortlist by Manchester City's England international Lucy Bronze and Arsenal forward Vivianne Miedema.
The Puskas Award for 2020's best goal includes Tottenham forward Son Heung-min's superb solo strike against Burnley last December.
Jordan Flores' outrageous volley for Dundalk against Shamrock Rovers in the League of Ireland is also shortlisted, along with Sophie Ingle's effort for Chelsea against Arsenal and a fine goal for Manchester City's Caroline Weir against Manchester United.
Leeds boss Marcelo Bielsa is a shock nominee to be named FIFA's men's coach of the year.