"I know Javed is not a happy man at the moment but I would like his input," Woolmer said.
"He would be very important in guiding me on how to run the show."
Miandad was outraged after the Pakistan Cricket Board (PCB) terminated his contract 10 months early as punishment for the team's home defeat to bitter rivals India and appointed former England Test batsman Woolmer to take his place.
Woolmer, a former South Africa coach, hopes Miandad can put his resentment to one side.
"I played against Javed, I've been to his house in Pakistan for a meal and he would be very important," he told BBC Sport.
"It's up to him, but along with others in the country his advice would be invaluable. It's up to me to sift through the advice and bring the whole of Pakistan cricket together."