Arthur and the entire coaching staff - bowling coach Azhar Mahmood, batting coach Grant Flower and trainer Grant Ludenafter - were sacked following Pakistan's disappointing World Cup run.
Paul Farbrace and Russell Domingo have also been shortlisted to replace Steve Rhodes.
The decision came following recommendations made at the review meeting held by PCB cricket committee in Lahore on August 2.
The forecast for Bristol on Friday is for heavy rain all through the day.
The former Zimbabwe cricketer is in his sixth year as Pakistan's batting coach.
Pakistan's chief selector Inzamam-ul-Haq could end up doubling up as the national team's batting consultant for the upcoming ICC World Cup in England.
Arthur refused to accept his batsmen were complacent.
Those before Taylor to score twin centuries in a Test are the Flower brothers Grant and Andy; Taylor first achieved the feat in 2013.
Zimbabwean great and celebrated former England coach Andy Flower deserves chunk of credit for resumption of international cricket in Pakistan.
The Pakistan Cricket Board (PCB) has decided to retain the services of their batting coach, Grant Flower, and will offer him an year's extension.