The 90-day measure would take effect on Wednesday (today), the government said in a statement on Tuesday by immigration minister Lena Metlege Diab.
Messrs Cook and Musk are part of a list of more than 15 U.S. executives joining the president.
The statement noted that ordinary passport holders from both country could visit China visa free.
Mr Trump had promised during his campaign to carry out America’s largest deportation programme.
“The focus of the visa review is on ensuring proper vetting and credible information in the visa process, not on penalising Nigerians,” Mr Mills explained.
Some of the reasons include terrorism, supporting terrorism, public safety threats, and overstaying visas.
It also targets chief executive officers, scientists, university professors, researchers, engineers, and specialists in information technology.
The U.S. Mission vowed to pursue criminal charges against those who engage in visa fraud.
The NIS said the e-visas were non-extendable, urging applicants to apply for visas that best match the duration and purpose of their visit.
Since January, Mr Rubio has revoked more than 300 visas, many of them belonging to students.
