[4] Conan was dropped from the Leinster senior squad for the 2014/15 season, one year ahead of scheduled completion of the academy.

[5] Conan was named man-of-the-match for his performance against Ulster on 3 January 2015,[6] in a game where he led all forwards with 40 meters gained and 8 defenders beaten.

[7] On 13 January 2017, Conan scored a hat-trick in the 57–3 win against Montpellier in the European Rugby Champions Cup at the RDS.

[9] Conan scored the game's only try and was named Player of the Match in Leinster's 16–6 victory over Munster in the 2021 Pro14 Grand Final.

He debuted for Ireland in a victory against Scotland at Lansdowne Road in an August 2015 Rugby World Cup warm-up match where he started at flanker.