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A decision on the leadership role of Babar Azam in white-ball formats has been put on hold.
Some are also thinking about playing in local leagues in the United Kingdom, according to a report in The Express Tribune.
Mahmood also took a dig at everyone who feels that players shouldn't have a life outside cricket and remain confined in their hotel rooms brooding over their narrow defeat to India.
With a second straight loss, Pakistan is looking down the barrel in the competition.
Babar will begin his new stint with a five-match home T20I series against New Zealand next month.
Kohli scored a tournament-best 765 runs during the recent World Cup.
Shan Masood has been announced by the PCB as the new Test captain while Shaheen Afridi will be the T20 captain.
Babar sought to steer clear of any speculation and said his focus was solely on finishing their group stage on a winning note at the Eden Gardens.
Babar is approaching the tournament's most-anticipated clash at the Narendra Modi Stadium, the world's largest cricket venue, with a complete disregard for the past.
Mohammad Rizwan scored an unbeaten 131 to help Pakistan record a six-wicket win.