Registration for Ordinary Level and Advanced Level public examinations is expected to end on April 9.
Government has however hinted that It could be forced to postpone as some candidates may fail to register.
The country is in a nationwide 21-day lockdown that started yesterday to combat the spread of Covid-19.
President Mnangagwa declared Covid-19 a national disaster and the lockdown is part of the measures to curb the spread of the virus.
Some schools were yesterday attending to pupils who want to register for the public examinations.
At Cowdray Park Secondary school pupils came in large numbers to register for the exams.
Pupils who spoke to the news crew said they had no option as they had not received any information to the contrary.
It was also observed that there were no sanitisers at the school for both staff and visitors.
"The deputy head said we must come today to register, we know there is a lockdown but there is nothing we can do," said a one of the pupils.
When the Chronicle news crew visited the school in the afternoon, the deputy headmaster Mr Vikani Moyo said they told pupils to go back home and did not attend to them.
"The instruction for them to come today was before the announcement of the lockdown on Friday. As for us we are here at the school because we haven't been told to stay home by our employer, the Public Service Commission," said Mr Moyo
Primary and Secondary Education Permanent Secretary Mrs Tumisang Thabela said Government will continue to register candidates.
"We want to use online and see how that will go and as we get to the deadline, we assess the situation and see how we can proceed," said Mrs Thabela,
She said Government was alive to challenges that may be faced by candidates who may not have access to online platforms.
"That is what we have to assess. We have never done this before. We are saying we are in a lockdown; we have never stayed in our houses for 21 days so we will have to see how accessible it will be. If it means there is going to be a late registration at some point, it will only come after we have seen what is happening on the ground," she said.
In a statement yesterday, Zimsec said it has to align with Government's state of preparedness on Covid-19 and take precautionary measures to mitigate the spread of the disease.
"The following business measures have been in place to ensure business continuity and that all essential services are rendered to the public. Examination entries/candidate registration: Head of examinations are advised to make use of the online platforms for the submission of registration data and proof of payment to Zimsec," reads the statement.
It said all payments should be made electronically using mobile platforms or online banking and proof of payment should be sent to its offices.