 Akhta has pleaded with the PCB to show leniency |
The fast bowler hit Asif with a bat on the thigh, although he insists the blow was unintentional and he was provoked.
The Pakistan board has given a three-member committee two weeks to complete its hearing into the brawl.
Board member Shafqat Naghmi said: "We have issued a notice to Shoaib and asked him to appear before the committee on 6 October."
Akhtar escaped a fine of $5,000 last month for leaving a training camp in Karachi without informing the team management.
He appealed and the fine was suspended after it was accepted that he had told captain Shoaib Malik that he intended to leave.
Last year the fast bowler and Asif tested positive for a banned substance in out-of-competition tests conducted by the board and were sent home from the Champions Trophy in India.
They were at first banned and then cleared by a drugs inquiry tribunal and appeals panel of the board.
Akhtar has played just one Test and four one-dayers in the last 15-months because of fitness and disciplinary problems.
Shoaib Akhtar has been told to keep quiet about the incident with Mohammad Asif which saw the paceman thrown out of Pakistan's World Twenty20 squad.
The 32-year-old hit Asif on the thigh with a bat and has been banned until an inquiry into the episode takes place.
Shoaib insisted he struck his team-mate accidentally after being provoked by a remark from all-rounder Shahid Afridi.
But board chairman Nasim Ashraf said: "Shoaib and the others should keep their mouth shut on this issue."
All-rounder Sohail Tanvir, 22, has taken Shoaib's place in the 15-man Pakistan squad in South Africa.
The controversial fast bowler has pleaded with the PCB to show leniency to him, saying: "I ask the authorities not to ban me for a lengthy period."
But Ashraf warned him to stop making public comments until the disciplinary proceedings are complete.
"It is not helping either the team or the image of Pakistan cricket. Until the inquiry begins he should remain quiet," he added.
"There is a code of conduct in place for the players and they are violating it by speaking on this issue which has already proved damaging for us.
"Comments by the players will only reduce the morale of the team and affect them in the World Cup."
PCB chief executive Shafqat Naghmi left for South Africa on Sunday to start the inquiry.
Pakistan play their first World Twenty20 match against Scotland on Wednesday in Durban and are also in the same group as traditional rivals India.
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