The 26-year-old forward put Egypt 4-0 up shortly before half-time, scoring direct from a corner.
Salah, who scored 44 times for Liverpool last season but is without a goal in his past four club appearances, later limped off with a muscle strain.
The Reds’ next game is at Huddersfield on Saturday, 20 October.
Egypt assistant coach Hany Ramzy told Bein Sports: “The initial diagnosis, according to the team doctor, is a strong muscle strain. It is not a tear. I think it is not serious.”