The Tatton MP and former Chancellor, left, wrote an open letter, which has been published by the Knutsford Guardian, in which he made clear his intention to continue serving as an MP while editing the London daily.
His letter comes after Guardian editor Carla Flynn speculated that Mr Osborne’s new appointment would be the “final straw” for many of his constituents.
Carla said her paper had received an “increased number of letters” in recent months questioning his commitment to the constituency.
But, in the open letter, Mr Osborne wrote: “After all that you have read over the recent days about my new role as editor of the Evening Standard, I want to talk directly to you, my constituents.
“It is the greatest honour to be your Member of Parliament, elected by you to represent our community here in Cheshire and take part in the national debate about the great issues Britain faces.
“For sixteen years I have done that – thanks to your growing support at each election – and with your help we have achieved some major successes.”
Mr Osborne cited twice stopping the closure of an A&E department, getting a bypass built and improving direct rail services as examples of his success.
He added: “Now I have left Downing Street I want to continue to take part in the debate about the future direction of our country. No longer being Chancellor gives me time to do that in other ways – yes, in the Chamber of the House of Commons; but also as the editor of a major newspaper, the Evening Standard.
“There is a long tradition of politics and journalism mixing. One of the greatest newspaper editors ever, CP Scott, combined editing the Manchester Guardian with being an MP.
“In our age, politicians from Iain Macleod and Richard Crossman to, of course, Boris Johnson have combined the role of editor and Member of Parliament. Meanwhile the hard work in the constituency continues unaffected.”