Campaign group Friends of Poynton Pool have raised concerns about the proposals.
Gwenda Mayers said the local community was “horrified”.
“If it does happen it’s going to devastate the wildlife, devastate the view and devastate all the good things about a park, which in a time like this when we all need to keep maintaining our mental health, it’s actually going to wreck all of that as well.”
Barry Howard has been visiting the site since 1947 and has lived in a house across the road from Poynton Pool since 1986.
“It’s just going to change it all,” he said.
“We appreciate that something needs doing, but there’s other options to it.”
The community group includes some local experts, including tree consultant Mike Ellison, who is also the chair of the group.