Five charter organizations have meetings this week and could take up the issue.
The school in eastern New Orleans is supposed to reopen in the 2016-17 school year.
New Beginnings board voted to put Lake Area high school under oversight of School Board. Then it didn't.
Parents hope new hire brings stability after previous principal and seven of 20 teachers left since start of school.
The principal also parted ways with the school this month, though the New Beginnings charter network CEO would provide no details.
The four-school charter organization has seen turnover at the top of every campus in past two years.
The Louisiana Board of Ethics has filed charges against Friends of King Schools CEO Doris Hicks and three relatives after finding them in violation of state law aimed to prevent nepotism. The action follows a Lens story that reported Hicks had hired six family members.
New Beginnings chief had been working on a month-to-month basis for a year as network explored contract issues.
New French accreditation and educational partnership cited by board in boosting pay to $110,000.
Agenda recommends approving leader at French immersion school; other board will vote after closed-door session.