Leeds are on the lookout for a new manager following the resignation of Garry Monk from his position this week.
Ranieri is without a managerial job at the moment, having been dismissed by Leicester City in February 2017.
The former Chelsea boss guided Leicester to the Premier League title during the 2015-16 season.
Leeds fans have also taken to Twitter to have their say whether or not the Italian tactician should be appointed the the West Yorkshire club’s manager.
Now my first choice has gone it's got to be Ranieri, although I would take Grayson back!@LUFC— Adam Clements (@adamclem88) May 27, 2017
Love Ranieri, think he's class but he's not what we need in my opinion. But if we get him it will be a coup& hope he proves me wrong! #Lufc— Sam Patton (@sampatton89) May 27, 2017
Ranieri would be a superb appointment - a blockbuster appointment, in fact - and Leeds would also be a good club for him.
The Italian tactician is a very good manager, and having someone like him in charge will certainly make Leeds one of the top contenders for the Championship playoffs next season.