[3] In 2013, Doran almost became the youngest player to score a First Grade century; playing for Fairfield-Liverpool against Sydney University, he was on 87* when his team declared.
[10][11] He made his first-class debut in a Sheffield Shield match against Western Australia, making scores of 5 and 17.
[13] In September 2015, Doran was added to the Tasmania squad for the Matador Cup, and he made his List A debut a month later against Queensland, but did not bat in the match.
[14][15] In November 2017, he scored his maiden first-class century, batting for Tasmania against South Australia in the 2017–18 Sheffield Shield season.
[19] Former Australian cricketer Stuart MacGill suggested that Doran should have been picked for the fifth and final Test of the 2015 Ashes series.