The actions are a show of defiance over the return of the school's principal, Carmel Casey.
Mrs Casey has been the focus of allegations of incompetent teaching practices and staff bullying at the school.
Attempts to contact Mrs Casey for comment yesterday were unsuccessful.
A staff member at the school, who declined to be named, said the school's three teachers were not happy about Mrs Casey's return to teaching on Monday after six months' leave.
As a result, one teacher had been granted unpaid leave until at least the end of term one, and the other two were not discounting taking sick or stress leave also, if Mrs Casey returned, as expected.
The staff member said two investigations were taking place over Mrs Casey's recent actions - one by Ministry of Education-appointed commissioner Cleave Hay into her competence as a teacher, and another by an independent lawyer into allegations of bullying and intimidation of staff.
A parent, who also declined to be named, said the parents of all remaining pupils at the school would remove their children from the school as part of a protest march before classes began on Monday morning.
He had heard the school was likely to be closed by October if the stoush was not resolved soon.
Another source close to the school said the issues between the principal and the school had escalated and the roll had dropped from 66 to 34 after news the principal was returning.
"Some of the remaining parents and possibly two teaching staff will be staging a walkout if the principal is there Monday.
"We are in dire need of a result, or the school will be left with a closure. A sad, sad time."
Parent Kirstin Quin said the parent community had stayed quiet throughout the dramas at the school, but the time to speak out had come.
"We have had one child go through the Rotary Park School system and enjoy all the opportunities that were made available and soar academically with the individualised teaching.
"But my second child will not.
"We are not prepared to have a child in Mrs Casey's class as a teacher for another full year"
Mrs Quin has since enrolled her child in another school for this year.
She said the school roll was "healthy" in 2007, when Mrs Casey joined a thriving school with a stable staff and management team.
"This has steadily declined"
Dunedin South Labour MP Clare Curran believed the school's viability was increasingly in doubt.
"Reports today that teaching staff at Rotary Park have gone on leave in protest at the continued presence of principal Carmel Casey are hugely concerning.
"[The commissioner] now says the school is in a legal mess. With warning signs as serious as these, the minister [Hekia Parata] should be taking an interest."
