[4] He made his professional debut in the 2011–12 A-League season, on 21 January 2012 in a Round 18 clash against Adelaide United, which the Mariners won 3–2.

[26] He followed this up by scoring the opener in the first leg of the Champions League play-off tie against Hapoel Be'er Sheva on 17 August 2016; Celtic went on to win 5–2.

[27] Rogic scored the first goal in Celtic's 3–0 triumph over Aberdeen in the Scottish League Cup Final at Hampden Park on 27 November 2016.

After a lacklustre trophyless season, the signing of Australian manager Ange Postecoglou in June 2021 acted as a renaissance moment for Rogic's career.

[citation needed][33] On 13 May 2022, Celtic announced that Rogic and Nir Bitton would both be leaving the club after the final game of the season against Motherwell.

"[34] He started the match before being substituted for James McCarthy at the hour mark, for which he received a standing ovation from the Celtic Park crowd.

He and Bitton brought out the Scottish Premiership trophy together,[35] which club captain Callum McGregor then lifted aloft with his departing teammates standing on either side.

[36] On 12 September 2022, Rogic joined EFL Championship club West Bromwich Albion on a free transfer, signing a deal until the end of the season.

[37] on 1 October 2022, Rogic made his debut for Albion in a 3–2 home defeat to Swansea City, lasting 57 minutes before being substituted.

[46] On 11 June 2013, Rogic came on as a substitute in Australia's 4–0 win against Jordan in a 2014 World Cup Qualifier and provided the assist for captain Lucas Neill's first international goal.

[47] In March 2016, Rogic scored two goals in three minutes against Tajikistan after coming off the bench in a World Cup Qualifier that ended 7–0 in Australia's favor.

In Australia's first group match against Germany, he played a key role, as he scored a goal in the first half as well as setting up Tomi Juric in the second.

[53] At the end of August 2021, Rogic was called on again for the third round of the 2022 FIFA World Cup qualifiers and subsequently registered his first appearance for the Socceroos since November 2019, as he started the match against China PR (where he also assisted Martin Boyle for the second goal of the game and took part in a 3–0 win) on 2 September 2021.