Parrish received his marching orders for two yellow cards in last weekend's 2-1 defeat at Plymouth and must serve a one-match ban.
Fellow defender Andrew Wright will complete a two-match suspension having collected 10 yellow cards this season.
Boss Jim Bentley has no injury worries with the exception of long-term victim Danny Carlton (knee).
Ryan Williams is pushing for a start in midfield having marked his debut with a goal from the bench to set up a grandstand finish at Home Park.
Shrimps goalkeeper Barry Roche paid lofty tribute to Williams' strike in his column for the Morecambe Visitor.
Roche said: "The way he strikes the ball is very similar to one Cristiano Ronaldo, and the dip and swerve he got on his strike was brilliant."