Snodin started his career as a trainee at Doncaster Rovers along with his brother Glynn under manager Billy Bremner, playing in midfield for the club.

[3] Even though Doncaster were in the third division at the time, Snodin earned several call-ups to both the England Under-21s and the under-23s due to being such a strong player at such a young age.

His never-say-die attitude was well received by the Everton fans, but it wasn't until Snodin played as an emergency right-back that he flourished for the club.

This transformation to defender happened so quickly and with such ease that in February 1989 he was called up into the full England squad for a friendly international against Greece.

In October 1994 he spent a while on loan with Sunderland and then in January 1995 he moved to Oldham Athletic, ending an association of nearly eight years and almost 200 first team appearances.