The 23 year-old has been linked with a £2 million move to Premiership side Manchester City.
Zamalek vice-president Hazem Fawzi told Egyptian website FilGoal: “Zaki did not come with an official offer from Manchester City, who were reportedly interested in acquiring the services of the player.
“We told the player to concentrate on Zamalek in the coming period and forget about any European offer at least until the end of the season.”