The former Stoke City manager was appointed as the Eagles' new boss on November 23, replacing former incumbent Ian Holloway.
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However, Delaney believes the 55-year-old has the experience to ensure the club can survive in England's top flight.
"He's big on set-pieces because their importance in the Premier League can easily get overlooked," said Delaney.
"Last weekend, for example, 40 per cent of all goals came from set-pieces and we know from bitter experience that we've given ourselves a mountain to climb too many times through conceding from free kicks, penalties, corners and long throws.
"We'll give ourselves a real chance if we can stop conceding those goals."
Pulis will take charge of his first home game at Palace when West Ham visit on Tuesday.