Sunderland head to Norwich City on Saturday for what could prove to be a relegation decider.
The former Arsenal stopper believes that with Allardyce at the helm his side can go on to fulfill their potential and emulate teams such as Stoke City in establishing themselves in England's top flight.
"Obviously the manager needs to stay," Mannone said. "If he's here and we do stay up, it's going to be a good base for this club to finally get what it's able to achieve. This club has the potential to be a very good one. We have to start by being in a better part of the table. From there, you've seen what teams like Stoke and Swansea have done. They've done magnificently."
Mannone has made 14 Premier League appearances for the Wearsiders this term, and has established himself as a first team regular following Costel Pantilimon's move to Watford.
Only one clean sheet in those outings have not helped Sunderland's cause however and will surely have to be improved upon if the Black Cats have any chance of survival.
He also referred to league leaders Leicester City as an example of what can be achieved with the right man in charge.
"Leicester are a great example and they've done it so quickly, but I think there's the base and the right man in charge to be in a better position,2 he said."
Mannone and his Sunderland side head to Carrow Road on Saturday to take on Norwich City in a game that has the potential to decide the fate of both sides...and potentially Newcastle, too.