A witness called police to report that two men were arguing by the side of the road and identified Carragher, who was later informed that the other man had lodged a complaint against him.
Carragher later attended the police station with his solicitor and accepted a caution for common assault.
A Merseyside Police spokesman said: "We can confirm that a 30-year-old man from the Blundellsands area received a police caution for common assault in relation to an incident on Liverpool Road, Crosby, on Tuesday February 26."