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.
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(Reporting by Ian Rodricks in Bengaluru, editing by Ed Osmond)
