Rovers knocked Wigan out of the competition at Leigh Sports Village on Friday, and have also enjoyed previous success against the Dragons in 2015.
“The cup is a one-off competition and we don’t fear any team,” Chester told the Hull Daily Mail.
“We showed against Wigan we can beat anyone.
“It would be nice to get a big crowd for the quarter-final at the KC Lightstream Stadium at the end of June, but we have a few league games to play before we face Catalans.
“We’ve beaten the Dragons at home and we ran them close at their place too.”