Shikabala, Hani Saied, Remi Adiko, Mahmoud Fathallah and Sabri Rahil were cautioned during the league match.
All five players will miss the White Knights' last league game against Masnoura for collecting three yellow cards each.
They will serve a one-match suspension and then will start to play in the Egyptian Cup with a clean sheet.
"They intended to be booked, so as we make sure that everyone will be available for the Egyptian Cup matches," Soliman told the post-match press conference.
The White Knights automatically qualified for CAF Champions League upon winning the league game which saw them guarantee a second-place finish.
Obstacles
Zamalek coach Hossam Hassan said that he will be facing a stern challenge in the Egyptian Cup.
"There are many obstacles in my way as a (Zamalek) coach," he said.
"I was hired midway through the season and now we really need to bolster the squad.
"We have to sign several players in the summer, till we do so we will be doing our utmost in the Egyptian Cup."