The Italian has been heavily linked to the post vacated by Julen Lopetegui following Madrid's embarrassing 5-1 defeat against fierce rivals Barcelona over the weekend.
B-team coach Santiago Solari has taken over on a temporary basis as the club searches for a permanent replacement, but Conte appears to have sabotaged his own chances of getting the job after laying down a list of stipulations.
Antonio Conte has demanded too much control to be given Real Marid job, says ex-club chief
'He's asked for three years and to come in with five people and have hands free for signings and transfers,' Calderon told BBC Radio 5 live's Football Daily Euro Leagues Show.
'But that's something the president [Florentino Perez] isn't willing to accept.'
Conte failed to wrest control over signings from the Chelsea board last season and regularly criticised their recruitment policy leading up to his acrimonious departure.
Calderon, who was president of Real for a three-year period between 2006 and 2009, also questioned if the former Blues boss would be the right fit for the job.
Ramon Calderon has claimed Conte