You can get a job in Slovakia if you have a work permit, or a certificate of the possibility of filling a vacancy that corresponds to a highly qualified job.
If you do not have any of above mentioned documents, you can get a job if:
- you are an asylum seeker 9 months after your application,
- you have been granted asylum,
- you have been granted subsidiary protection,
- you have been given temporary refuge.
Link: Job offers with Ukrainian language