Lucy Watton, who is campaigning to reopen the footpath on Stonemill Walk, in Upper Gornal, says there is no evidence "to corroborate crime in the street".
But in response to a Freedom Of Information request, West Midlands Police said no crime has taken place at that location.
Data shows there has been seven reports of anti-social behaviour since 2016, with only one report being made each year in 2017, 2018 and 2020.
Ms Watton said: "There is absolutely no evidence to corroborate a claim of crime in the street. There has been no crime at all and only seven incidents since 2016."
Councillor Harley said the council will keep the matter "under constant review".
Ms Watton says members of the community no longer have safe access to the park.
She said: "I went up recently with a lad in a motorised wheelchair. From the car park, he had to travel 285 metres into oncoming traffic on a main road to get onto the park which was extremely dangerous.
"A local blind man also got completely stuck at the public right of way.
"At first he thought he'd taken a wrong turn and was completely disorientated. Luckily, a kind soul who was on the park went round and had to walk him onto the main road and round."
The petition Ms Watton has launched has now amassed more than 330 signatures.