Mr Culleton appeared in the ACT Magistrates Court on Thursday for the first brief mention of the case, alleging Mr Brandis misled the Senate over matters that led to his dismissal.
Mr Brandis had been served with a summons but did not appear.
Federal prosecutor Peter Botros asked that the case be adjourned for 10 weeks so the Commonwealth Director of Public Prosecutions could decide whether it would take the matter on.
Mr Culleton began to speak about the circumstances around the case from the bar table before he was interrupted by Magistrate Karen Fryar.
"This is not the place to grandstand, Mr Culleton," she said. "I don't care what happened in the Senate, what matters is what happens here.
"What I have is your private prosecution summons."
Ms Fryar said it was not uncommon in private prosecutions for territory or Commonwealth prosecutors to consider whether they should take over the prosecution.
"In all due respect this is a private prosecution, it's my prosecution, Mr Culleton said. His comments prompted Ms Fryar to respond: "In all respect it's up to the CDPP."