Contract rebel Yasser discussed his future, whilst Zaki only made a post-match comment after the 3-1 win over Smouha.
Despite the distinct subject, football director Ibrahim Hassan revealed that the strike partners will be sanctioned equally.
"Even though Yasser talked about his contract in public when he shouldn’t, while Zaki didn’t cross the line, but both of them will be sanctioned," he told FilGoal.com.
Meanwhile, Hassan reaffirmed that Shikabala will also be punished for taunting former chairman Mortada Mansour following his substitution against Smouha.
The former Egypt defender, who is the twin brother of Zamalek manager Hossam Hassan, expressed his consternation with the unrest surrounding the club's board.
"Amid this instability, the biggest loser could be the football team," said the ex-Ahli star.
"Players are human and could be easily affected by the pressure from such problems."
Zamalek chairman Mamdouh Abbas is set to be sacked after Mansour's appeal against the club's 2009 elections turned successful.
Mansour is now a frontrunner to become the club's next chairman ahead of the 2011 elections.