If you intend to employ people of foreign national, it is necessary to make sure that they legally have the right to work in Japan, as you can be in a lot of trouble employing someone who doesn't have, or is unlikely to obtain an appropreate visa status.
If your future employees already have a visa (status of residence) such as "Permanent Resident" or "Spouse or Child of Japanese National", there is no problem. If they don't have an appropreate working visa (status of residence) yet, they have to get one.
It is necessary in this case to make sure that the content of the job and the profile the applicant correspond well to the type of visa (status of residence) asked.
The fact that your future employee already has a working visa (status of residence) such as Specialist in Humanities or Skilled Labor doesn't mean that you can legally continue to employ them. A visa (status of residence) is granted according to the nature of activities and the performance of the employing company, as well as the qualification of the candidate.
Even if his/her education and the work experience correspond to the requirements of the visa (status of residence) already obtained, it can not be renewed if the new work is considered to be incoherent to the qualification of the applicant or the nature of the visa (status of residence) asked, or when the new employer is considered to be financially incapable of employing another personnel.