[2] Prior to his first-class debut, he was part of the West Indies squad for the 2014 Under-19 Cricket World Cup.
[4] He made his Twenty20 debut for St Kitts and Nevis Patriots in the 2017 Caribbean Premier League on 19 August 2017.
[5] In November 2017, he scored his maiden century in first-class cricket, making 169 not out for Jamaica against Trinidad and Tobago in the 2017–18 Regional Four Day Competition.
[7] In June 2018, he was named in the Cricket West Indies B Team squad for the inaugural edition of the Global T20 Canada tournament.
[12] In February 2021, Allen was bought by the Punjab Kings in the IPL auction ahead of the 2021 Indian Premier League.