Include the case number and arbitrator's name, as well as a preferred contact number in case the Clerk of Court's staff needs to follow up. 5. Find out how to get an arbitrator appointed and the appointment process.The list of eligible arbitrators includes all county residents who have been active members of the State Bar of Arizona for at least 4 years. Been a formal withdrawal from or substitution in the case. 2. Rule 68 - Offer of Judgment (a) Time for Making; Procedure. Any party may serve on any other party an offer to allow judgment to be entered in the action. Defendant in such case waives and gives up his right to a probable cause. Each of these approaches (the Maricopa approach, the.