Mr Oyeyemi said that the police personnel would continue to be at various strategic places to ensure safety of lives and property.
The police in Lagos say five persons who participated in the Democracy Day protest at the Gani Fawehinmi Freedom Park were arrested and later released.
Hakeem Odumosu, the police commissioner in the state, said no suspect was detained in connection with the protest.
“I want to emphasise that no single person is in police custody as a result of the protest (as at 1.30 p.m. press time),” Mr Odumosu said.
“Five persons were arrested at Ojota, I ordered my men to release them. I thank God no one was injured, no vehicle was damaged,” he said.
The police chief said that everywhere he had visited was calm, stressing that reports from officers showed that everywhere was calm in Lagos.
Mr Odumosu said the police had nothing against protesters as long as they were peaceful in their conduct, stressing that the only thing he requested from them was information about their protest, not permit order.
He said the information sent out by the protesters, through social media, requesting residents to sit at home created panic in the state, stressing that through a press statement on Friday, the directive was countered.
He said that his officials were deployed to various areas noted to be black spots as early as 2 a.m. on Saturday, stressing that his directive to his officials was that protesters had the right to do so peacefully.
The police had earlier attempted to use gunshots and tear gas to disperse the protesters at Freedom Park. But Mr Odumosu said they were targeted at those trying to cause trouble at the protest venue.