The Paris Saint-Germain forward has also made no secret of his admiration for fellow Frenchman Zidane.
But Erling Haaland could be a cheaper option for Madrid amid the coronavirus pandemic.
Borussia Dortmund star Erling Haaland is an alternative transfer target for Real Madrid if Paris Saint-Germain's Kylian Mbappe does not move to the Santiago Bernabeu, according to the front page of Tuesday's Marca.
Mbappe – also linked to Liverpool – has long been Madrid's number one transfer target and the LaLiga champions are preparing to make a move for the PSG star in 2021.
But if Mbappe does not make the switch from France to Spain, Haaland has emerged as another option for Zinedine Zidane.