The BBC says the incident happened at about 0230 GMT at a pub in Southport. Six men were detained later in a nearby street.
The men, four from Huyton, one from Formby and one from Litherland, remain in police custody.
A 34-year-old man from Southport was taken to hospital with facial injuries which are not believed to be life threatening.
The men from Huyton are aged 33, 31, 29 and 19. A 28-year-old from Formby and an 18-year-old from Litherland are also being questioned.
Gerrard, 28, is Liverpool captain and scored twice in his team's 5-1 victory over Newcastle on Sunday.