"Bruce will attend Zamalek's league match against Aluminum on Monday," Mohamed Saied told FilGoal.com on Sunday.
"He will sit down with Zamalek officials the following day to discuss a possible move for Zaki.
"The fact that Bruce himself will represent Wigan in the negotiations highlights the caliber of my client."
Zamalek spokesman Khaled Gabr confirmed that a Wigan representative will arrive in Cairo, but did not disclose whether it will be Bruce.
"The club will decide whether to sell Zaki when it receives the official offer," Gabr said.
Wigan, who lie 13th in the Premiership table with one match to go, were interested in signing Zaki during the January transfer window, according to Zamalek.
The 25-year-old has persistently demanded Zamalek to let him fulfill his ambition of playing in Europe.
He was involved in a series of disputes with the club's board recently.