Many New Zealand companies contract with employment assistance programmes to have counselling support ready for their employees if needed. It's not unusual to find it listed as a "perk" of the job in recruitment advertising.
What's on offer is, however, not always advertised well. I have heard: "I didn't go to counselling through my company because I wanted a real counsellor", or "How can I know that the counsellor is not going to tell my employer what I said?".
Employers face increased obligations under the Health & Safety at Work Act 2015 (which came into force on April 4, 2017) requiring employers to monitor the health and welfare of their workers, and to provide information and training to protect workers from risks to their health and safety. So supplying counselling help can be part of a company's strategy to adhere to this Act.
Various employment assistance programmes contract these services to employers. They include OCP, Vitae, EAP Services and more — and each has its own way of working but, generally, three or more sessions are offered to staff to work on whatever they are dealing with.
Issues are not necessarily workplace ones — people go to these counsellors for all sorts of challenges, including couples counselling, relationship breakups and parenting.
Most employers and contractors will allow a few more sessions if needed, but that's not a given — so my advice would be that if you have an issue that needs more than three hourly sessions, be prepared to see the counsellor privately or find your own private practitioner to work with.