The 27-year-old Maqsood had a mediocre World Cup with 153 runs in six innings and was criticised for his lack of fitness during the showpiece event, won by Australia.
He was considered lucky to be named in the one-day and Twenty20 squad for the tour of Bangladesh announced last week. The Pakistan Cricket Board (PCB) said Maqsood fractured his left arm.
Read: Pakistan-Bangladesh series to start from April 17
His replacement Nasim was already named in the Twenty20 squad so there will be no replacement for Maqsood in that squad.
Pakistan will play three one-day internationals, one Twenty20 and two Tests in Bangladesh with the first ODI in Dhaka on April 17.
Pakistan finished as losing quarter-finalists in the World Cup during a campaign marred by fitness and discipline problems.
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Eight players including Maqsood were fined for breaching curfew hours while pacemen Junaid Khan and spinning all-rounder Mohammad Hafeez were ruled out due to fitness problems before the Cup started.
Pakistan also lost paceman Mohammad Irfan due to a hip injury before their last group game against Ireland.
Meanwhile, the first day of the training camp was also marred by rain intervals. The camp is scheduled to be held till April 11. After that, Pakistan team will leave for Bangladesh on April 13.
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