Moroney moved to West Ham United in 1947, making his debut in the English Second Division on 1 September 1947 against Millwall. In January 1948 he was joined at the Hammers by his former Cork United teammate, Frank O'Farrell. Moroney played 148 league games for the Hammers, scoring 8 goals. He also played a further three games for the club in the FA Cup. He played his last game for West Ham on 3 April 1953 in a 2–1 defeat against Fulham. He subsequently returned to Cork where he finished his playing career with Evergreen United.
Irish international
Moroney made 12 appearances for Ireland between 1948 and 1953. He scored his only goal for Ireland, on his international debut, in a 2–1 away defeat against Spain on 30 May 1948. He was also a member of the Ireland team that defeated England2–0 at Goodison Park, becoming the first non-UK team to beat England at home. He played his last game for Ireland on 4 October 1953 against France in a World Cup qualifier.