Orders made in contempt proceedings are generally not appealable. See, eg In Re Buckley (1973) 10 Cal.3d 237. They can be reviewed by writ of mandate, but the Court of Appeal has discretion to decline to review the order.
The only exception to this rule is that certain contempt orders may be appealable pursuant to express provisions of the Family or Probate Codes. If this is neither a family law or probate matter, however, then those exceptions almost certainly do not apply.