Lime's director of government affairs, Mitchell Price said in a statement they had decided to temporarily cease operations on the Gold Coast and "request the council ensure the same standard for other operations".
Twine said the council was undertaking a study into the possibility of electric scooter ridesharing on the Gold Coast.
"The issue here is one of public safety — we know that there is already plenty of concerns from the public about scooter use on footpaths and shared paths," he said.
"Lime is committed to working with City of Gold Coast Council on smart mobility options for the community. The public has demonstrated strong support for an operator which provides a premium and reliable service," Price said in a statement to the Herald.
"We will continue to work with council officials, as we have always done, to ensure that Gold Coast residents have access to first and last mile transport options."
He added that Lime had "requested the council ensure the same standard for other operators
"In the coming weeks, we will be holding a number of community-focused events to educate residents on Lime's smart mobility platform," he said.
Council has made it explicitly clear that all operators must comply with their request or be subject to impoundment.
Auckland Council granted Lime a three-month trial that will need to be renewed in the New Year.
On October 25, Mayor Phil Goff ordered a review following a near-miss incident involving Councillor Christine Fletcher.
Lime scooters can travel at 27km per hour, or faster downhill, but a 10km per hour limit has been suggested.