He initially struggled to break into the first-team but helped the club's reserve side win two local cups.

He gained significant attention from other club's after being described as "instrumental" in Stockport's 3–1 victory over Glossop North End in the semi-final of the Manchester Cup.

His performances resulted in several approaches being made to sign him and Stockport eventually accepted a bid of £260 from Glossop North End, the highest fee ever paid for a Lancashire League player.

After starting the in 10 of the first 11 games of the 1913–14 season Goddard lost his place and only played for the Reds one more time before leaving for Southern Football League side Cardiff City in September 1914.

On 29 May 1956 it was reported in the Liverpool Echo that Goddard had died after being in ill health for some time, although no exact date was given, and that his funeral would take place on 31 May at Anfield cemetery.