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I really don't think so, it wasn't even just this season that ended that Real Madrid started having serious defensive injuries it was the other one. It wasn't Ancelotti's fault that the team was reinforced but the fault of Perez. The coach had requested for the players he needed but the management did otherwise. The coach has no other choice than to manage the players that he already has.
Previously, Ancelotti had submitted an offer to the management to bring in new players after several key players in the defensive area suffered serious injuries, but the management ignored the request so that Ancelotti had no other choice but to utilize the players available in his squad. The selfishness of the management including Perez made Ancelotti the scapegoat for Real Madrid's failure to win trophies, but as has happened before, the coach is always the victim.
Alonso also has no guarantee that he can handle Real Madrid for a long time, if he fails to fulfill Perez's desires, perhaps he will suffer the same fate as Ancelotti, previously Zidane also had to leave the Madrid coaching chair because what the club president wanted was not achieved.