Moremi, Foster and Appollis sent Bafana Bafana past Zimbabwe to reach AFCON last 16.
Nigeria qualified for the knockout stage of the Africa Cup of Nations in Morocco after holding on to beat Tunisia 3-2 in a pulsating encounter in Fes.
Ruben Amorim conceded Manchester United were fortunate to beat Newcastle 1-0 on Friday but said his under-strength squad showed impressive spirit to withstand a second-half onslaught.