Farrar Street begins off Lawrence Street less than 300 metres from Walmgate Bar, and is made up of around 70 terraced properties.
Labour Councillor for Fishergate Conrad Whitcroft spoke out on behalf of residents in council meetings before executive member for economy and transport Cllr Pete Kilbane approved a recommendation for consultation.
Cllr Whitcroft said: “I have already worked with a number of residents' associations desperate to see residents-only parking in their streets.
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