Cal. Code of Civil Procedure § 1282.5

(a) (1) A party to an arbitration has the right to have a certified shorthand reporter transcribe any deposition, proceeding, or hearing. The transcript shall be the official record of the deposition, proceeding, or hearing. (2) A party requesting a certified shorthand reporter shall make his or her request in or at either of the following: (A) A demand for arbitration, or a response, answer, or counterclaim to a demand for arbitration. (B) A pre-hearing scheduling conference at which a deposition, proceeding, or hearing is being calendared. (b) If an arbitration agreement does not provide for a certified shorthand reporter, the party requesting the transcript shall incur the expense of the certified shorthand reporter. However, in a consumer arbitration, a certified shorthand reporter shall be provided upon request of an indigent consumer, as defined in Section 1284.3, at the expense of the nonconsumer party. (c) If an arbitrator refuses to allow a party to have a certified shorthand reporter transcribe any deposition, proceeding, or hearing pursuant to this section, the party may petition the court for an order to compel the arbitrator to grant the party’s request. The petition may include a request for an order to stay any deposition, proceeding, or hearing related to the arbitration pending the court’s determination of the petition. (d) This section does not add grounds for vacating an arbitration award pursuant to subdivision (a) of Section 1286.2 or for correcting an arbitration award pursuant to Section 1286.6.