Afridi made the announcement of his ill health on Twitter.
Rashid Latif confirmed the news and asked everyone to pray for Riaz Sheikh's departed soul.
Former Pakistani cricketer Taufeeq Umar has tested positive for the novel coronavirus. Umar said the symptoms are mild and he is self-isolating at home.
Zafar was the brother of Pakistan international player Akhtar Sarfraz.
Afridi was the third Pakistan cricketer to test positive for the virus after Taufeeq Umar and Zafar Sarfaraz. After that, ten more Pakistan team players have been diagnosed with the virus before their tour of England.