Ex Parte Injunctions. Ex parte injunctions are appropriate only when the threatened harm is so immediate and so severe that even giving the other party notice of the application for the injunction and an opportunity to be heard in opposition is not practical. Ex parte literally means one-sided.A party seeking the entry of an ex parte order (without the involvement of or even notification to the other party most directly affected) has an exceedingly heavy burden in convincing a judge the emergency warrants such extreme action.uring an ex parte injunction hearing, there is frequently no actual hearing. Although a judge is free to insist upon a full evidentiary presentation, he or she usually permits these applications to be presented in chambers.