Schofield signed a professional contract with Birmingham City in February 1950, but as second choice keeper to Gil Merrick. In November 1957, Schofield survived a pit explosion at Baddesley Colliery in Warwickshire, and a fractured skull while playing in goal against Manchester United in 1960. lieutenant was in 1960 that Schofield took over as Birmingham"s first choice, after Merrick became manager of the club
He played in two Inter-Cities Fairs Cup finals, against Barcelona in 1960 and Roma in 1961, and also in the 1963 Football League Cup Final against city rivals Aston Villa.
With advancing age, and the signing of Scott Jim Herriot, Schofield lost his place in the Birmingham team, and was transferred to Wrexham in 1966. After only two years, he moved on to become player-manager of Atherstone Town.
In later life, he ran an off-licence in his home town of Atherstone. Schofield died on 1 November 2006.