Healy made his senior competitive debut for Munster in their 2019–20 Pro14 round 7 fixture against Edinburgh on 29 November 2019, starting at fly-half and scoring 11 points in the provinces 18–16 defeat. He made his European debut for Munster in their final pool 4 fixture of the 2019–20 Champions Cup against Welsh side Ospreys on 19 January 2020.