The leader of the Labour group on Lichfield District Council has called for the EU referendum result not to be used as a political football.
Britain voted to leave the Europen Union in the historic vote last week.
The result has led to the resignation of Conservative Prime Minister David Cameron, while Labour leader Jeremy Corbyn is under pressure after a number of members of the Shadow Cabinet also stepped down.
Cllr Sue Woodward, who heads the Labour group on the district council, said politicians now need to find a way to make the decision work.
“Although I was firmly in the Remain camp, I respect the result of the referendum and believe it is the duty of all of us involved in politics to get the best deals for our country and our area,” she said.
“We need steady hands and strong leadership, nationally and locally, steering us through these difficult times and we also need unity across political parties and campaigns. This was the feeling that I got from Conservatives from both campaigns on Thursday night and, to be frank, if the vote had gone the other way, there would still have been a lot of turbulence with half of the country feeling they’d not been heard.
“The MP for Lichfield has shown, yet again, that he is a divisive voice locally as he gloats over the result. We politicians must hear what electors are saying to us, particularly about the pressures on public services.
“This is the message, not just in areas of high immigration, but across the country and is leaving people unsettled and fearful about the future for them and their families.”
The leave campaign has come under scrutiny after questions were raised over the claims money saved would be reinvested in the NHS.
Cllr Woodward said the political arguments should not overshadow the issue of the way public services are funded in Britain going forward.
She said: “We heard time and time again from the Brexit campaign that we are the fifth richest nation in the world. We are also now hearing that some of their central campaign promises to give extra funding to the NHS and to control immigration are falling by the wayside.
“Now is the time for all of us to think seriously about how we fund public services properly, particularly the NHS and care services, and not just make all of this a political football.”