Because the Friday and Saturday Reds exhibition games at Double-A Pensacola and Triple-A Louisville count as big league exhibitions and would prevent backdating disabled-list stints, the three players cannot participate.
Marshall, who has not pitched in a game all spring because of left shoulder soreness, is scheduled to face hitters in live batting practice on Wednesday.
Hannahan, who is recovering from October right shoulder surgery, has been able to hit in games but can't throw effectively on a consistent basis. Hannahan has yet to throw across a diamond from third base to first base in a game.
"He's done it in practice," Price said. "I don't want to say tentative, but it's certainly not at game speed. It might be a day on, a day off or two days on, a day off. He's not throwing every day."
Reds catcher Devin Mesoraco has not swung a bat since straining his left oblique on Wednesday.
"He has increased the amount of rotational exercises he's been doing but has not swung the bat," Price said. "I don't know if that's in the cards today or tomorrow."
Mark Sheldon is a reporter for MLB.com. Read his blog, Mark My Word, and follow him on Twitter @m_sheldon. This story was not subject to the approval of Major League Baseball or its clubs.