In an advertisement on its website, the board also invited applications for sports physiotherapist, strength and conditioning coach, and spin bowling consultant.
The PCB said it prefers to have a former Test or international player as the head coach and the deadline for entries has been set as May 5.
Australia's Dav Whatmore completed his two-year stint as coach in February before the PCB gave short contracts to Moin, Zaheer and Shoaib for the Asia Cup and World T20 in Bangladesh.