Bradshaw was called up for his senior international debut on 31 March 1928 at Wembley Stadium in a 5–1 win over England, a performance that saw the Scotland side dubbed the 'Wembley Wizards'.

In his one game for Scotland Bradshaw directly nullified Dixie Dean, England's most potent goalscorer of his generation.

Despite such a notable individual and team performance, Bradshaw was the only wizard to have this game as their only full cap.

Tom stayed at the Merseyside club for eight years, playing most of his games at centre-back, eventually racking up 291 appearances.

Following his departure in 1938, Bradshaw had short spells with Third Lanark and South Liverpool, before retiring to work as a scout for Norwich City for a period of time.