Moore played his last game for West Ham in an FA Cup tie against Hereford United in January 1974. He was injured in the match. On March 14 the same year, he was allowed to leave West Ham after more than 15 years, taking with him the club record for appearances (since overtaken by Billy Bonds) and the most international caps (which remains).
He joined London rivals Fulham, who were in the Second Division, for £25,000. During Moore's first season there they defeated West Ham in a League Cup tie and then reached the FA Cup final where, in a further quirk of fate, they faced West Ham again. This time Fulham lost the game, 2-0, and Moore had made his final appearance at Wembley as a professional player.
Moore played his final professional game in England for Fulham on May 14, 1977 against Blackburn Rovers. He played for two teams in the North American Soccer League - San Antonio Thunder in 1976 (24 games, 1 goal) and Seattle Sounders in 1978 (7 games). During 1976, there was also a final appearance on the international field for Team USA in games against Italy, Brazil and an England team captained by Gerry Francis. This was the U.S.A. Bicentennial Cup Tournament, which capitalized on NASL and more importantly England and Italy both failing to qualify for the European Championships that year. Seattle was the last team for which he played professional football, although he did play 9 games in 1978 for the Danish semi-professional club Herning Fremad to promote Danish football's newly transmission to professional football
