The winger picked up his fifth booking of the season in the 4-4 draw with Millwall last weekend and will subsequently serve a one-match ban.
The 25-year-old’s absence could see Jonjo Shelvey or Therry Racon return to the starting XI on the left flank, with Scott Wagstaff switching to the right.
Parkinson will also be without on-loan Reading striker Dave Mooney.
Mooney suffered a knee injury against Millwall, with Akpo Sodje, Leon McKenzie, Izale McLeod and Chris Dickson all vying for his place.
Meanwhile, the Addicks could welcome back Frazer Richardson at right-back after he recovered from a hamstring injury, but Kelly Youga is still out with a a knee complaint.