In Coriolanus, the Roman patrician and friend to Coriolanus is Menenius Agrippa, usually called Menenius.
Menenius is a senator who acts as a political intermediary between Rome’s patricians, its plebeian citizens, and the proud soldier Caius Marcius, later given the name Coriolanus. At the start of the play, he tries to calm citizens protesting a grain shortage. He uses the famous fable of the belly and the body to argue that Rome’s different social groups depend on one another.
Menenius’s relationship with Coriolanus is warmer and more personal than that of most Roman politicians. He understands Coriolanus’s military pride and blunt temper, but he cannot persuade him to soften his attack on the plebeians. After Coriolanus is banished and joins the Volscians, Menenius is sent to ask him to spare Rome. Coriolanus rejects his friend’s appeal, and only his mother, Volumnia, succeeds.
Brutus and Sicinius are not patrician friends; they are plebeian tribunes and political opponents. Aufidius is Coriolanus’s Volscian enemy. The full name Menenius Agrippa is therefore the most precise form of the stored answer.