The 48-year-old succeeds Manuel Pellegrini, who left by mutual consent last month and is now manager of English Premier League side West Ham United.
Coleman left Sunderland in April after a turbulent five-month spell at the Championship club who were involved in a ultimately unsuccessful relegation struggle.
But the Swansea-born manager is best remembered for his time in charge of Wales, whom he took to the semi-finals of Euro 2016.
Coleman also worked in Spain with Real Soceidad in the 2007-08 season.
Hebei are eighth in the Chinese Super League, which is currently on a two-month break. Fixtures resume after the end of the World Cup next month.
(Reporting by Neil Robinson, editing by Pritha Sarkar)
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