Como dizer "exame admissional e demissional" em inglês

Exame admissional --> Hiring medical exam /Pre-employment medical test

Exame demissional --> Dismissal medical examination

Relevant:

Occupational hazard = Risco ocupacional

You may say "Fitness for wok assessments":

The primary purpose of health assessment fitness for work is to make sure that an individual is fit to perform the tasks involved effectively and without risk to their own or others’ health and safety.

Assessment of medical fitness may be needed for those who are:

- being recruited for the first time (depending on work exposures)
- being considered for transfer to a new job (depending on work exposures)
- returning to work after significant or prolonged illness or injury
- undergoing periodic review relating to specific requirements (e.g. Health surveillance)
- being reviewed for possible retirement on grounds of ill-health

Source Researches:
Ref. oh.admin.cam.ac

Ref. proz

Complemento:

No campo da HSE (Health, Safety and Environment), os termos em Inglês para referir aos exames admissional e demissional, como referidos no Brasil, variam conforme a localidade; No entanto, estes termos orbitam as sugestões dadas por Simon Vasconcelos.
Outras sugestões:

Pre-playcement medical assessment
Exit medical assessment

Pre-employment medical examination
Exit medical examination