Born in London, Goddard was part of the Tottenham Hotspur Academy for a number of years and played frequently in the Premier League 2 (U-23 League).
In 2017, Cy turned down a contract extension at Spurs and instead moved to the then Serie B side Benevento Calcio on a three-year contract. He featured in two matches in the 2018-19 Serie B season and the following season was shipped out on loan to Cypriot-based Pafos FC. Goddard made six appearances for the club in the Cypriot First Division.
After the loan spell ended, the 23-year-old left-footed midfielder returned to his parent club in June 2020 and now joins Mumbai City FC on another one-year loan deal.
Benevento Calcio are back in Serie A after winning Serie B in the 2019-20 season having got relegated the season prior. Their manager is Juventus, AC Milan and Italian international striker Filippo “Pippo” Inzaghi.