[4] Baggley began his career at Linfield and Glentoran,[5] moving to English club Fleetwood Town in September 2018 following two trial periods.
[4] After initially playing for the club's youth team, Baggley made his senior debut for Fleetwood Town on 9 March 2019, appearing as a late substitute in a 2–0 league defeat away at Walsall.
[11] He scored on his debut for Altrincham against Solihull Moors,[12] and returned to Fleetwood in November 2021 having made a further two appearances during the loan spell.
[17] On 3 December 2024, it was announced that Baggley had signed for League of Ireland Premier Division club St Patrick's Athletic on a long term contract for an undisclosed fee.
[18][19] He scored his first goal for the club on 21 January 2025, in a 2–1 win at home to Bray Wanderers in the Leinster Senior Cup.