Coleman is scheduled to meet officials from the Welsh Football Association on Friday to discuss his future in the aftermath of the country's failure to qualify for next summer's World Cup in Russian Federation.
Assistant manager Kit Symons has also resigned and is expected to join Coleman at the Stadium of Light.
He ends a roller-coaster six-year spell in charge that included an historic Euro 2016 semi-final in France, and FAW chief executive Jonathan Ford said: "We are extremely disappointed to see Chris' tenure come to an end".
"We wish Chris the very best of luck for the future as he returns to club management, a desire for which he has always been honest and open about".
They are understood to have held talks with Barnsley boss Paul Heckingbottom and were also interested in Northern Ireland manager Michael O'Neill as they searched for a successor to the sacked Simon Grayson.Читайте также: Facebook asks for nude photos from Australian users to combat 'revenge porn'
"But he had a big smile on his face, he's going to an incredible club and I think they'll like his football up there".
Coleman, who succeeded Gary Speed as Wales manager in 2012, is the country's most successful coach, having led them to the semi-final stage of the Euros a year ago.
Coleman took his first job when 33, managing Fulham after retiring early due to injury.
Coleman's reputation sky-rocketed after leading Wales - previously without a major tournament appearance since 1958 - to the Euro 2016 semi-finals, but he was unable to follow that up with qualification for next year's World Cup in Russian Federation.
He took them to ninth in the Premier League but lost his job in 2007 and moved to Real Sociedad.При любом использовании материалов сайта и дочерних проектов, гиперссылка на обязательна.
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