The 35 year old joined City twelve months ago as a free agent, to provide back up for Joe Hart and Costel Pantilimon, though he did not make a single first team appearance.
His last competitive game came in a Championship match for Ipswich Town just over eighteen months ago, during his second spell with the Tractor Boys – the club where he began his career.
In 2001, Wright moved from Ipswich to Arsenal, where he won the Premier League in his one and only season before being transferred to Everton.
Spells at West Ham United and Southampton followed before his return to Portman Road in 2008.
He played twice for Sheffield United during the 2010/11 campaign, before returning to Ipswich for a third spell in November 2011.
Wright also has two caps for England, the last of which coming twelve years ago in a friendly against the Netherlands.