Misbah, who has faced criticism since becoming the first man in Pakistan cricket to hold two top posts of head coach as well as chief selector, also rued the lack of talent at domestic level.
The cricketer-turned-commentator also pointed out that Pakistan need a power-hitting coach to correct the players' direction in the game's shortest format.
Pakistan lost the first two games, by 64 and 35 runs respectively, as the islanders took an unassailable lead in the three-match series in Lahore.
Critics were harsh on comeback men Ahmed Shehzad and Umar Akmal, who failed to get going in the first T20 against Sri Lanka.
Misbah-ul-Haq's request comes two days before Pakistan takes on Sri Lanka in a series of three one-day internationals, the first in the country for four years, and as many Twenty20 internationals.
India had won the inaugural ICC World T20 defeating arch-rivals Pakistan by five runs at the Wanderers Stadium in Johannesburg in one of the most dramatic finals cricket fans can ever witness .
The new head coach and chief selector, Misbah-ul-Haq, told the media that he was looking to build separate ODI and T20 squads.
In the recently concluded World Cup, questions were raised over the Pakistan team's diet and fitness before former Pakistan pacer Shoaib Akhtar also termed skipper Sarfaraz Ahmed as 'fat and unfit'.
Misbah has issued orders that only barbecue items and pasta with lots of fruits should be on the menu for all teams in the domestic season.
Pakistan is due to play three ODIs from September 27 in Karachi and three T20 internationals against Sri Lanka in Lahore until October 9.
Misbah was confirmed for the dual role on Wednesday by the Pakistan Cricket Board (PCB), which has also assigned former pacer Waqar Younis for the job of bowling coach.
The cricket-mad nation failed to reach the semi-finals of the 2019 World Cup in July, prompting the Pakistan Cricket Board (PCB) not to renew head coach Mickey Arthur's tenure.
According to a Dawn report, Misbah and Younis emerged as the top candidates for their posts during the interview process conducted by a five-member panel of the Pakistan Cricket Board (PCB) last week.
Another former captain Waqar Younis is also likely to be named as the bowling coach of the team.
A source in the PCB said that the five-member panel appointed by the board to interview prospective candidates for the team management positions had nearly concluded its work.