[14] Crowley joined the senior squad on a two-year contract from the 2021–22 season,[15] and made his first start for Munster in their 18–10 away defeat against Welsh side Ospreys in round 5 of the United Rugby Championship on 23 October 2021.
[16] Crowley made his Champions Cup debut for Munster in their 2021–22 pool B round 2 fixture at home to French club Castres on 18 December 2021, coming on as a replacement for Ben Healy in the province's 19–13 win.
[22] Selected in the Ireland under-20s squad for the 2020 Six Nations Under 20s Championship,[23] Crowley started at fly-half in the opening 38–26 win against Scotland, scoring 18 points, including a superb solo try from his own 22, and earning the Man-of-the-Match award.
[27] Crowley received his first call up to the Ireland 7s team ahead of the International Rugby 7's tournament at St George's Park, England in May 2021, where they played hosts Great Britain and the United States.
[28] Crowley was selected in the Emerging Ireland squad that travelled to South Africa to participate in the Toyota Challenge against Currie Cup teams Free State Cheetahs, Griquas and Pumas in September–October 2022.
[36] Following a pre-match injury to Johnny Sexton, Crowley was promoted from the bench to make his first senior international start for Ireland against Australia on 19 November, scoring a penalty and conversion in their 13–10 win.