''I have seen the progress that has been made under Mickey Arthur and the opportunity to work with a leading full member team on the rise in world cricket, is a real privilege.''
Bradburn, who played seven tests and 11 ODIs as an offspinning allrounder from 1990 to 2001, helped Scotland to wins over full member countries and was well regarded for his work with that country.
Pakistan had been chasing Australian Darren Berry to replace former New Zealand coach Rixon, who opted not to renew his contract for personal reasons. However Berry withdrew on the same grounds.
''Grant leaves the Scotland team in a very good position to qualify for, and compete strongly in, the next two World T20 finals in 2020 and 2021,'' Malcolm Cannon, chief executive of the Scottish board, said.
Bradburn, 52, played first-class cricket for Northern Districts from 1985-86 to 2001-02 before coaching the province.