Zidane has enjoyed a stunning first full season at Real Madrid, steering them to the top of La Liga and the Champions League final.
However, reports in Spain claim his future at the club is far from certain.
It is said the Frenchman is growing increasingly frustrated with interference from club president Florentino Perez.
As a result, Zidane could walk away regardless of how Real fare this season.
Previous claims have suggested Perez would love to bring Manchester United boss Jose Mourinho back to the Bernabeu.
Mourinho spent three years in Spain, winning La Liga in 2012 before a falling-out with senior players led to him to quit the following year.
But Don Balon report Real would prefer to appoint Chelsea manager Antonio Conte instead.
They see him as the ideal replacement should Zidane quit the Bernabeu at the end of the campaign.
Perez would prefer for the Frenchman to stay put but could sack him if the club fail to win the league and Champions League.
