I think you can contact the authorities directly. But maybe some paperwork from you company will be required. So, it will be better that the company will make it. But they probably do not want to do that. You should know that the application will charge 500NTD. So, the company may ask you to pay. Also, in order to hire a foreigner the company should satisfy some requirements (like to generate some revenue and so on) and provide some relevant papers. So, it can be the reason that some companies do not want to disclose such information. Anyway, I think you can ask them first or ask some friend to contact about the application procedure.
Here are the contact information:
Workforce Development Agency
Address: 4F., No.439, Zhongping Rd., Xinzhuang Dist., New Taipei City 24219, Taiwan (R.O.C.)
Service hours: Monday to Friday, 8:30a.m.~12:30a.m.；1:30p.m.~5:30p.m.
Office hours for foreigner’s work permit application: Monday to Friday, 8:30a.m ~ 5:30p.m.
Address:10F, No. 39, Sec. 1, Zhonghua Rd., Zhongzheng Dist., Taipei City