The Arbitration Law of ROC Article 11

A party who has already appointed its own arbitrator may, by written notice, request the other party to appoint an arbitrator within fourteen days from the date of receipt of the notice.Where an arbitrator is to be appointed by an arbitration institution, either party may request that institution appoint an arbitrator within the same period specified in the preceding paragraph.
中文原文 仲裁法第11條
當事人之一方選定仲裁人後,得以書面催告他方於受催告之日起,十四日內選定仲裁人。
應由仲裁機構選定仲裁人者,當事人得催告仲裁機構,於前項規定期間內選定之。

English translation for reference only; the Chinese text prevails. Not legal advice.