The BCB also named a 17-man squad for the Asia Cup that gets underway in the United Arab Emirates on August 27, with batsman Sabbir Rahman and veteran wicketkeeper-batsman Mushfiqur Rahim both returning to the fold.
Chasing Bangladesh's total of 153, Oman could only make 127/9 with Mustafizur Rahman bagging 4/36.
Playing a pivotal role in Scotland's win was Chris Greaves, who followed up his blazing knock with the two important wickets of Shakib Al Hasan (20) and Mushfiqur Rahim (38).
Shakib had misbehaved with an umpire during a Dhaka Premier League match against Abahani Limited.
Shakib lost his cool twice and kicked the stumps during a Dhaka Premier League match against Abahani Limited.
Shakib was handed a two-year ban, with a one-year suspended sentence, by ICC's Anti-Corruption Unit on October 29 last year, for failing to report multiple corrupt approaches by an Indian bookmaker.
Both Shakib and Maxwell are victims of the pressure cooker atmosphere in which the game is played these days, with matches being held all year round.
The Bangladesh T20 captain said that Shakib's absence will be an opportunity for the youngsters in the team to step up and perform in the series against India.
Bangladesh wicketkeeper-batsman Rahim also took to social media to show support for one of the country's most gifted cricketers.
The 32-year-old Shakib was on Tuesday banned for two years, one year of it suspended, for failing to report approaches by suspected Indian bookie Deepak Aggarwal to the International Cricket Council's Anti-Corruption Unit.