If you meet the requirements for qualifications and/or experience, café or restaurant manager is a skilled job
http://skillshortages.immigration.go...aurant-manager which could allow you to put in for residence under SMC. Your job responsibilities would have to match up with the ANZSCO description. And you would have to meet the points requirement, in order to put in your EOI.
https://www.immigration.govt.nz/new-...-resident-visa See Check Criteria near the bottom of the page.
If you can meet the points threshold with your qualifications, and get your ITA (invitation to apply), you could also (using a lot of the same evidence) get an Essential Skills visa
https://www.immigration.govt.nz/new-...ills-work-visa, without your employer needing to do the labour market test, because of WK2.5.15.
http://onlineservices.immigration.go...nual/45676.htm