Spector, 24, believes the Italian deserves another crack after keeping the Londoners in the Premier League.
The defender said: "We as players don't know what is going to happen with the manager.
"But it is clear that all the players like him as a person and as a manager.
"We are behind him and I think our celebrations when we secured safety by beating Wigan showed our solidarity with the manager.
"The manager believed in us and we believed in him."