Can I motion the California Court of appeal to deny Respondent's request for Oral Arguments, after Respondent had declined?

There is more than likely no justice from the court of appeal who is driving this. This is automatically done by the clerks. So there is no "favoritism" being shown. Here is how this works: both parties are permitted to have oral argument. If both parties say no, there will be no oral argument. If only one party says yes, then oral arguments will happen even if the other party doesn't want one. If you wanted oral argument in the first place, what do you care that the Respondent now is agreeing with you? You're ultimately getting what you want: to argue in front of the court. If you are so contentious about something this small, I wonder whether you will have the detachment necessary to engage in productive participation in your appeal. I certainly hope that you are not doing this yourself.

The way the Court of Appeal sees this, is about fairness to both parties. So, the most fair thing is for both sides to argue, or both sides not to argue. What you are protesting is essentially that you thought you had gained an advantage over your opponent and that's been lost. I doubt very much that will fly at the Court of Appeal! I recommend you contact opposing counsel and offer to stipulate you both waive argument.

There is no point in wasting your energy on protesting this. Use your energy to focus on and win your case by preparing extensively for oral argument. Review the record and your main arguments and be prepared to answer questions. .