Coppell announced that his near six-year reign in charge of The Royals has come to an end just hours after they were beaten 2-0 at home by Burnley.
“Following our exit from the play-offs, I feel it’s the best thing, for both the club and myself, for me to leave,” he told the club’s official website.
“I have thoroughly enjoyed my time as Reading manager and would like to thank everyone connected to the club for the support I have received.”
“I am very disappointed to confirm that Steve has decided to step aside as our manager, but I respect his wishes,” added Reading chairman Sir John Madejski.
“I would like to thank Steve sincerely for everything he has done for Reading over the last five and a half years, which has been the most successful period in the Club’s history.”