Logan will miss the trip to Carrow Road as he serves a one-match suspension after being booked for the fifth time this season against Leyton Orient last weekend.
Rovers' only other definite absentee is striker Bas Savage, who remains on the long-term injury list with an Achilles problem.
Rovers put in an impressive performance against Orient in the first round of the FA Cup and Parry is urging his men to relish the long trip to Norfolk.
He said: "Norwich is a lovely ground and it will be a great atmosphere. They are a great team and it's a great challenge for us."