Parker has recover from an ankle injury he sustained in last month's pre-season game against Hull KR.
Rovers coach Daryl Powell said: "Jessie is fit again and he needs to get some game time under his belt. He will play at number six against Wakefield.
"I am looking for him to understand the structures and systems and to get his communication where it needs to be in order to control a part of the field with the attacking structure we use. It will be a good opportunity for him against Wakefield.
"Lasen will play in the centres and it will be a good hit out for him as well. I am looking for Lasen to get to understand what we are doing, particularly defensively."
The Rovers side will also include prop Jode Sheriffe, full-back Zak Hardaker and hooker Aaron Dobek.
Admission for the match is £3 for adults and £1 concessions.
Said Powell: "The team to play Wakefield will be a mix of young players and some experienced ones as well."