He was drafted by the Swans in the 2008 AFL Draft, but remained in Melbourne in 2009, to complete his high schooling at Xavier College. He made his debut in Round 16, 2009 for Sydney against Carlton, whilst still attending high school. He is the son of former Footscray player Matt Hannebery.
In round 2 of the 2010 AFL season, Daniel received a nomination for the NAB AFL Rising Star award after he played a starring role in his side's drought-breaking win over the Adelaide Crows at AAMI Stadium.
Hannebery was awarded the Ron Evans Medal as the 2010 AFL Rising Star. Hotly tipped all year to take out the coveted award, Hannebery polled the maximum 45 votes to beat number one draft pick, Tom Scully with 35 votes. Hannebery's outstanding season was further rewarded with finishing 10th in the Bob Skilton Medal and winning the club's Rising Star Award.
2011 proved to be a strong 2nd season for Hannebery as he improved markedly to finish 7th in the Skilton Medal. While he didn't poll as many Brownlow Medal votes as in his first full year of senior footy in 2010, he played very consistent footy and offered great assistance to the rest of the Swans midfield as a source of possession and momentum.
In 2013 Hannebery won the first New Zealand awarded Anzac Medal in the Anzac Day clash between Sydney and St Kilda. The game was played at Westpac Stadium in New Zealand's capital Wellington, the first game ever played for premiership points outside of Australia.