Officers were taking part in an anti-social behaviour operation at the time.
The incident has been referred to the Independent Office for Police Conduct, GMP said.
Pc John Cavanagh, from GMP’s serious investigation collision unit, said: ‘Our thoughts are with the man’s family who are understandably distressed whilst he fights for his life in hospital.
‘A cordon is currently in place at the scene and we have referred the incident to the IOPC due to the police contact in the moments before this incident.
‘We will do all we can to support any subsequent investigation.’
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