 An inside forward, Woodward played for hometown club Troed-y-rhiw as a youth and moved to Southern League club Folkestone in 1933 and departed in 1936.In January 1936, Woodard earned a move to the Football League with Second Division club Fulham in a £300 deal.It wasn't until the 1937–38 season that he established himself in the team, making 33 league appearances and scoring 15 goals.