Parker went on to captain Arsenal to their 1930–31 Championship triumph, and the 1931–32 Cup final (which they lost 2–1, controversially, to Newcastle United). Throughout all this time Parker was a near ever-present in the side, missing just six league games in seven seasons with the club. However, by 1932 Parker was nearly 35, and at the start of the 1932–33 season he was replaced at right back by George Male. He made his last appearance in an Arsenal shirt on 8 October 1932 against Derby County, and left the club in 1933 to become manager of Norwich City.