Head coach Jason Gillispie said Shaheen Afridi understands the "situation" and the break will give him quality time with his family.
Images from the T20 World Cup match between Bangladesh and Sri Lanka, in Sharjah, on Sunday.
Australia will start favourites in Thursday's clash but a passionate Bangladesh are expected to make life tough for the holders.
Left-arm spinner Shakib Al Hasan claimed three wickets as Bangladesh left Sri Lanka stuttering at 172 for six before bad light stopped play early on the opening day of the first Test on Friday.
Top India batsman Virat Kohli has maintained his second position in the latest ICC batsmen rankings while medium pacer Bhuvneshwar Kumar has moved up a place to be seventh in the bowlers' standings.
An inspired Ben Stokes revived England with ball and bat on the third day against Bangladesh on Saturday to put the visitors firmly in control of the opening Test in Chittagong.
Kohli, Dhoni named captains of Test and ODI team of the decade by Aussie website
As well as hefty pay increases, players in the cricket-mad Asian country demanded a return to a franchise-based model in the Bangladesh Premier League (BPL) and the resignation of the present committee of the country's Cricketers Welfare Association.
Bangladesh Prime Minister Sheikh Hasina sympathised with Shakib and stated that the country's cricket board will stand by their Test and T20 captain in this difficult period.
Rohit Sharma becomes most-capped player in T20 World Cup history
Star all-rounder Shakib Al Hasan has also moved up three slots to a career-best 14th position among bowlers after his match haul of 10 for 153 at Mirpur.
After a 20-month absence from Test cricket, Rishabh Pant's return was nothing short of sensational.
IMAGES from the Asia Cup match between Sri Lanka and Bangladesh played in Pallekele on Thursday.
A chaotic buildup could be the reason for Bangladesh's "worst ever" World Cup campaign, lamented skipper Shakib Al Hasan, after they cut a sorry figure in an 87-run defeat to the Netherlands and suffered their fifth loss on the trot in Kolkata on Saturday.
Bangladesh beat Zimbabwe by six wickets in the final one-day international to win the three-match series 2-1 on Friday. Mashrafe Mortaza of Bangladesh was named man-of-the-match, while Shakib Al Hasan, also of Bangladesh, was adjudged man-of-the-series.
Left-arm spinner Shakib Al Hasan grabbed six wickets to put Bangladesh on top on the second day of the first Test against New Zealand in Chittagong on Saturday. The Kiwis, replying to Bangladesh's first innings 245, were reduced to 155 for nine at the close with captain Daniel Vettori 48 not out.
A joint team of the elite anti-crime Rapid Action Battalion (RAB) and police arrested 28-year-old Mohsin Talukdar from southeastern Sunamganj district after 24 hours of a massive manhunt.
Kumar Sangakkara became only the second cricketer to hit a triple century and a hundred in the same Test as Sri Lanka set Bangladesh a huge target of 467 to win the second and final match in Chittagong on Friday. Sangakkara, who struck his maiden triple century in the first innings, hit a six off Sohag Gazi to reach three figures in the second and emulate former England opener Graham Gooch's 1990 feat against India at Lord's.
Bangladesh opener Tamim Iqbal has signed for Pune Warriors, becoming the franchise's eleventh overseas player and second signing this week after Australia captain Michael Clarke.
Bangladesh's Shakib Al Hasan is the MVP for the Asia Cup, while the in-form Virat Kohli finished second, but he is the best among the Indian players by a long way!
Meanwhile, Indian pacer Mohammed Siraj and left-arm wrist spinner Kuldeep Yadav were placed third and seventh respectively.
Rajneesh Gupta presents a statistical look at the maestro's centuries.
Images from Thursday's IPL match between Kolkata Knight Riders and Royal Challengers Bangalore at the Eden Gardens, in Kolkata.
Sidharth Kaul claimed Royals Captain Rahane, caught at deep square leg for 13.
Shakib Al Hasan exuded confidence that the Gautam Gambhir-led Kolkata side would make it to the play-offs while admitting that the road ahead was "challenging".
Images for the Tuesday's Indian Premier League match between Rajasthan Royals and Kolkata Knight Riders, in Abu Dhabi.
In-form Sri Lanka right-hander Kamindu Mendis is another player on the move, with the 26-year-old improving five places to 11th and reaching a new career-high rating after he scored another century in the second Test of his side's recent series with New Zealand.
Kraigg Brathwaite, Kieran Powell and Kirk Edwards all hit half-centuries as West Indies held the edge in the second and final Test against Bangladesh, reaching 253 for five at close on the first day on Saturday.
He is the only Indian to make the list that includes three South Africans including record-breaking captain AB de Villiers. Check out the team...
Bangladesh all-rounder Shakib Al Hasan picked Virat Kohli as India's key player, but asserted that his team cannot take the other batsmen lightly when the teams meet in the ICC World T20 match in Bengaluru on Wednesday.
Bangladesh axed opening batsman Zunaed Siddique and left-arm spinner Enamul Haque Jr. from an 18-man squad announced on Tuesday for next month's home Tri-series against India and Sri Lanka.
Bangladesh's Najmul Hossain Shanto scored a half-century before all-rounder Shakib Al Hasan got the hosts over the line for a six-wicket win against Twenty20 world champions England.
Australia's Shane Watson has become the top-ranked ODI all-rounder and also achieved a career-best ranking to date in the Reliance ICC ODI Rankings, at the end of Bangladesh and Australia series which finished on Wednesday.
In the second innings not only Shanto (82), top-order batters Zakir Hasan (35) and Shadman Islam (35) also got starts they failed to convert, resulting in a heavy defeat.
After Mumbai's bowlers gave the team a great start by dismissing Sunrisers Hyderabad for a mere 118, the defending champions made a hash of the chase.
However, South Africa have lot of openers stacked on top (Bavuma, Quinton de Kock, Aiden Markram, Rassie van der Dussen and Reeza Hendricks) with a light middle order which is still a huge concern.
Robiul Islam claimed five wickets as Bangladesh took control of the second Test against Zimbabwe at the close of day three at Harare Sports Club on Saturday.
Younis Khan smashed an unbeaten double hundred and Asad Shafiq helped himself to his maiden Test century before regular strikes put Pakistan on course for a win in the first Test against Bangladesh on Sunday.
Without Shakib Bangladesh will lack the experience of as many as 151 T20Is when they begin the three-match series in Delhi on Sunday.
Left-arm spinner Taijul Islam claimed a match haul of 10 wickets to bowl Bangladesh to a comprehensive 150-run victory against New Zealand in the opening Test in Sylhet on Saturday.