When an entire pleading is stricken without leave to amend, a judgment of dismissal may be entered from which an appeal lies. But no immediate appeal lies when only a portion of a pleading is stricken; that ruling may be reviewed only by writ or on appeal from the final judgment. CCP § 472c(b)(3).

In your circumstances, the case was not dismissed (probably because the judge wants to give you every opportunity to hire a lawyer, before granting a default to plaintiff). So, you cannot appeal. You can file a petition for a writ of review with the Court of Appeals, but I can practically guarantee that the petition will be denied, because you have recourse, which is to hire a lawyer (even if you say that you can't afford legal representation, the court won't care -- because if you're really insolvent, then your recourse is to file personal bankruptcy and avoid liability entirely).

If it has been less than 10 days since the order was made, you can file a motion to reconsider (CCP 1008), and try to show the court the reason why you should be able to represent the corporation. If that fails, or you're out of time, or if you simply want to avoid two hearings, then you could move for relief from the order under 473(b), and try to show "excusable neglect" in your failure to appear for the case management conference. You would have to also supply an argument for why your pleading should not be stricken, because the court won't reverse its prior order if it thinks that the underlying rationale on the motion to strike is defective.

This is all just a standard motion pleading.

Please let me know if I can clarify or assist you further.

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