The 62-year-old Chilean, who won the Premier League and two League Cups with City after taking over in 2013, joins big-name coaches Sven-Goran Eriksson of Shanghai SIPG and Guangzhou Evergrande's Luis Felipe Scolari in China.
Hebei, who are fifth in the Chinese Super League standings, face leaders Guangzhou on Sept. 10.
(Reporting by Ian Rodricks in Bengaluru, editing by Ed Osmond)
