PCB has expressed hoped Ajmal's name would be included in the shortlist of the annual award after a review.
South Africa's Hashim Amla and Vernon Philander, Sri Lanka's Kumar Sangakkara and Australia's Michael Clarke all made the list, but Ajmal despite being Test cricket's leading wicket-taker in the period under consideration, was left out.
Ajmal took 72 wickets in the 12-month period, including 24 in Pakistan's 3-0 rout of then world number one Test team England earlier this year.
PCB spokesman Nadeem Sarwar said they have written to the ICC on Ajmal's omission.
"Yes, we have shown our concerns on Ajmal's name not short listed for Test player of the year award despite his excellent performance in Tests during that stipulated period," Dawn.com quoted Sarwar, as saying.
"We hope that the ICC will reconsider this and include Ajmal's name," he added.
Graeme Swann was omitted from a shortlist in 2010 but was later included after England put up his case.
South Africa had also objected to the omission of their players and had boycotted the 2009 ceremony held in Johannesburg.
Despite his omission from the award shortlist, Ajmal's name has been included in ICC's best Test team of the year.