Los Blancos are 16 points behind La Liga leaders Barcelona and were humiliated midweek as Leganes dumped them out of the Copa del Rey.
Florentino Perez has identified Pochettino to replace Zidane and will persuade him by targeting Kane as this summer's star signing with a £175m move planned.
The England international is currently earning just £110,000 per week, significantly below star players at rival clubs, meaning Daniel Levy is already planning a new contract to fight off interest from Real.