Zaki, who put in an impressive display, opened the scoring on 74 minutes, and newly-signed striker Mosaad doubled the lead three minutes later.
The White Knights were quite coherent, comparing with their previous friendly that saw them slump to a 3-0 loss to French Ligue 1 outfit Sochaux.
Zamalek coach Michel Decastel played a host of newcomers in the game, making nine substitutions in the second period.
The Cairo team carved out several clear-cut opportunities in the first half, but none were converted.
The fit-again Zaki came close to hitting an opener on three occasions, but failed to break the deadlock before the interval.
Ahmed Gafaar and Shikabala could have opened the scoring as well, but each squandered a chance.
Ukrainian side Shakhtar mainly depended in their attacks on long-range shots and crosses from both flanks, but to no avail.
Zamalek's victory could have slipped away if it wasn't for the dexterity of their goalie Mohammed Abdul-Monsef, who denied two golden opportunities.
Three minutes from the hour-mark, the towering keeper rose to the challenge in a one-on-one chance.
On 65 minutes, he skillfully parried away a powerful shot to keep a clean sheet.
Former Wigan Athletic star Zaki put Zamalek ahead with a follow-up effort, and Mosaad capitalized on a defensive blunder to add the second.
Mosaad was about to notch a third nine minutes from time, but his fierce drive went over the bar.
نرشح لكم
خبر في الجول - توروب يفكر في إضافة الأسيوطي لقائمة الأهلي الإفريقية
خبر في الجول - موعد سفر بلال عطية لخوض فترة معايشة مع هانوفر
الكونفدرالية – موعد مباراة الزمالك المقبلة ضد المصري.. والقناة الناقلة
دوري أبطال إفريقيا – موعد مباراة الأهلي ضد يانج أفريكانز.. والقناة الناقلة
في الجول يكشف بندا في عقد إعارة مصطفى العش إلى المصري
كأس عاصمة مصر - المقاولون العرب ينتصر على سيراميكا ويحجز بطاقة التأهل لربع النهائي
الزمالك ينهي مشواره في كأس العاصمة بثنائية أمام المصري
محمد حمدي يجري جراحة الرباط الصليبي في ألمانيا












كما اشتراه باعه.. أتالانتا يضم راسبادوري من أتلتيكو مدريد