The accident was on the eastbound carriageway at junction 15, where the M56 merges with the M53 at the Stoak Intercanghe.
Traffic was brought to a complete stop while vehicles were dragged to the hard shoulder, according to North West Motorway Police.
A North West Ambulance Service spokeswoman said two ambulances attended and treated two walking wounded casualties but no-one needed to go to hospital.
Firefighters freed one woman from one of the cars.
Cheshire police said the incident involved a silver Vauxhall Corsa, a beige Audi A5, a red Audi A3 and a white BMW estate.
A spokesman for the constabulary said the carriageway was shut for a couple of minutes while the vehicles were moved to the hard shoulder.
The route was cleared by 9am.
Two fire engines from Ellesmere Port and one from Chester attended.