PCB chief executive Ramiz Raja has indicated that Haroon was under consideration to be appointed as assistant coach, given his expertise and experience.
"New coach Bob Woolmer has asked us to appoint an assistant coach with him so that he does not face any communication problems and has someone attached with him who can learn from him," Raja said.
"Since Haroon has already been retained as manager, the feeling is that he should also be appointed as assistant coach to Woolmer because he has the professional background to do both jobs with expertise," the PCB CEO was quoted as saying in local daily The News.
Haroon, who was appointed as manager after the 2003 World Cup, has also been the coach of the Pakistan senior, 'A' and the Under-19 teams on several occasions and is a qualified English and Wales Cricket Board Level-two coach.
He had also attended a certificate-coaching course conducted by Woolmer two years ago in Karachi under the aegis of the International Cricket Council (ICC).
Haroon, when contacted, said although he had no inkling that he may be handed a dual responsibility, he would welcome such an offer.
"If something like this happens I think I am capable enough of handling both responsibilities," he added.
Raja said another reason for considering Rasheed for the additional job was that the Board wanted to avoid having too many people in the team management.