A below par Gladiators' side were beaten 12-52 by the Wigan-based visitors, who controlled the game from start to finish.
Tries from centre Dan Smith and young halfback Toby Davies provided some brief moments of cheer for Chester, who struggled in both attack and defence.
Orrell's bigger and more aggressive forward pack found the going all to easy as they were able to punch holes in the Gladiators' defensive line time and time again.
Chester struggled to make any real impression with ball in hand and a combination of poor discipline and handling errors meant the home side spent much of the afternoon deep in their own half.
Orrell scored three tries in the opening 15 minutes to open up an early 18-0 lead, and then added a fourth score on 20 minutes to move 22 points clear.
Chester finally got off the mark on 26 minutes when fullback Mark Hanson burst through and offloaded to Smith who raced clear to score next to the posts.
But the visitors hit back with three more tries before the half time break.
The Gladiators improved at the start of the second period but some weak tackling allowed Orrell to score a try from long range.
Things went from bad to worse for Chester when Davies was sent to the sin bin for 10 minutes when then the referee ruled he tripped an Orrell player as he attempted to collect his own chip kick.
The visitors took full advantage of the extra man, running in three tries while Davies was off the field.
Davies returned to the field and provided a rare bright sport for the home side when he scored the try of the match, chipping over the Orrell defence and hacking the ball on before outpacing the fullback to ground the ball for Chester's second try.
But Orrell had the final word as they broke the 50 point barrier on the last play of the game after the Gladiators had spilled the ball near halfway.
Hooker Dan Rowett was named man of the match for Chester, who face another tough test on Saturday when Wigan Bulldogs, who top the table with Orrell, travel to The Cheshire County Sports Club. Kick off is at 2.30pm.