Cresswell sustained a hip injury during Tuesday's 2-1 defeat at Brentford and will be replaced in the starting line-up by Zoumana Bakayogo.
Cresswell joins Dale Jennings, Alan Mahon, Ryan Fraughan and Marlon Broomes in the treatment room at Prenton Park.
Joss Labadie will miss out due to suspension as Tranmere seek to bounce back from their midweek defeat in front of what could be a bumper crowd.
Entrance to all areas of the ground will be just ?5 as Rovers bid to grow their fanbase and Parry believes it can only aid his side in their pursuit of victory.
"It can have an absolutely massive impact," Parry said.