Provisionally signed by Partick Thistle as a teenager and "farmed out" to Ayrshire Junior side Dalry Thistle, Wright signed full professional forms with Partick on Friday 28 January 1949 and made his debut the following day.
Wright appeared in the Scottish League Cup Finals of 1953, 1956 and 1958, each of which ended in defeat [REF] and, in 1959, captained the Glasgow Select to a 5-1 victory in its annual challenge match against the Sheffield Select.