Officers had separated a group, which gathered around the Royal Oak pub on County Road, from some counter-protesters holding placards with slogans including “hands off our neighbours” and “stop the far right”.
Under police escort, the protesters headed towards the flyover leading to Queens Drive before being diverted through a church yard into residential streets around Goodison Park stadium.
The majority then returned to County Road where they eventually dispersed.
The march had attracted criticism from councillors for taking place in an area which suffered severe damage during the 2024 riots.
In an open letter, Labour council leader Liam Robinson said: “Many local people have been in touch with me to say they do not want this march to take place.
“It is a painful reminder of one of the darkest moments in that area’s history.
“I share their view, but local authorities do not have the power to prevent such marches from taking place.”
Only the Home Office could take the decision to stop a protest, he said.