The standing committee on sports has summoned coach Intikhab Alam, captain Younis Khan and Pakistan Cricket Board chief Ijaz Bhatt to explain their "conduct".
While Alam and Younis returned home on Monday, Butt is in South Africa to attend International Cricket Council meetings.
On their part, Alam and Younis have denied the allegations.
"We will be meeting with them on October 13 as we feel the team deliberately lost the games against Australia and New Zealand," Jamshed Dasti, chairman of the standing committee on sports in the National Assembly, told reporters on Tuesday.
Dasti said the team lost to Australia "just to keep India out of the tournament". "The way we lost in the semifinal has left the whole nation disappointed and the PCB has to give answers," he said.
It is not the first time that the parliamentary committee has summoned PCB officials. However, it only has the power to give recommendations to the Prime Minister and President.