The board's lawyer recommended the appeal, and board members agreed without objection. LSU has refused to release the names while the issue is pending in the courts.
A closed-door search led to the hiring of F. King Alexander, who starts the job next month.
The Advocate and The Times-Picayune filed lawsuits seeking access to the name of presidential candidates, and a state district judge ruled the documents were public records and must be released.
However, a judge in the same court overseeing a similar, separate lawsuit filed by the editor of LSU's student newspaper ruled in favor of LSU.
LSU board members have defended the process, saying it was designed so sitting chancellors and presidents can be considered without worrying about their current positions.