The draws for the last eight of the competition was held in Cairo, Egypt and Nigeria's Enyimba will face Guinea's Horoya in ties later this month.
Libyan side Al-Nasr, who have qualified despite not having a league to play in at the moment, will meet Hassania Agadir of Morocco.
Zambia's Zanaco will take on Pyramids of Egypt whose compatriots Al Masry meet last year's runners-up, Renaissance Berkane of Morocco.
The two-legged quarter-finals are set for the weekend of 28 February to 1 March, with the return legs a week later.
The venues for both matches have yet to be announced.
Confederation Cup draw:
Zanaco (ZAM) v Pyramids (EGY)
Al Nasr (LBY) v Hasania Agadir (MOR)
Al Masry (EGY) v RS Berkane (MOR)
Enyimba (NGR) v Horoya AC (GUI)