[1] 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.

[6] 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.

[8] One week later, Healy started for Munster in their match against Edinburgh, scoring six of his seven penalties and converting CJ Stander's 76th minute try to earn a 25–23 win for the province.

[13] He started in Munster's historic 28–14 win against a South Africa XV in Páirc Uí Chaoimh on 10 November 2022, scoring all four of his attempted conversions for eight points and a 100% kicking record during the match.

[14] Healy scored a 79th minute try and converted it to earn a 15–14 away win against Ulster in round 11 of the 2022–23 United Rugby Championship on 1 January 2023, a result that had seemed unlikely for much of the game.