Pitman's career began in
New South Wales, representing the state at underage national championships before moving to the
Australian Institute of Sport in
Canberra where she was noticed by national head coach
Norma Plummer.
Canterbury Tactix In 2010, she was signed by
New Zealand ANZ Championship franchise the
Canterbury Tactix. However, in round 6 against the
Northern Mystics, she suffered an
ACL injury that ended her season.
Queensland Firebirds After a successful ACL rehabilitation, she joined the
Queensland Firebirds in 2011. Significant improvement throughout the season resulted in Pitman becoming the starting wing attack and helping the Firebirds win the
2011 ANZ Championship in an undefeated season. Her breakthrough season was capped off with selection in the
Australian Netball Diamonds team for the
2011 World Netball Championships in
Singapore, where Australia retained the title. In
2013, Pitman was part of the Firebirds team who made it to the
ANZ Championship Grand Final for the second time in 3 years where they were defeated by the
Adelaide Thunderbirds 50–48.
West Coast Fever At the conclusion of the season, she and Firebirds teammate
Natalie Medhurst, announced that they had signed with the
West Coast Fever for the 2014 season. Towards the end of the 2014, Pitman announced that she would take the following season (2015) off from the ANZ Championship to consider her netball future.
Manchester Thunder In July 2014, she signed a one-year contract with
Netball Superleague side
Manchester Thunder for the 2015 season in England.
Central Pulse For the 2016 season, she returned to play in the
ANZ Championship, signing for New Zealand side
Central Pulse.
Adelaide Thunderbirds After the dissolution of the
ANZ Championship in July 2016, Pitman signed with the
Adelaide Thunderbirds for the 2017
Suncorp Super Netball season. Pitman starred for the Thunderbirds during their 2017 campaign and was ultimately named the 2017 Club Champion after a highly successful season. Pitman was a co-captain of the Thunderbirds in 2019 and 2020, sharing the role initially with English international teammate
Layla Guscoth and later sharing it with Australian team-mate
Hannah Petty. After the 2020
Suncorp Super Netball Season, Pitman was not offered a new contract by the
Adelaide Thunderbirds. This resulted in her playing the 2021 season in Netball South Australia's Premier League competition for the Garville Netball Club.
West Coast Fever After concluding her season playing for Garville Netball Club, Pitman returned to the West Coast Fever again, accepting a training partner position for the 2022
Suncorp Super Netball Season.
London Pulse In June 2022 Pitman joined
London Pulse of the UK
Netball Super League, where she helped the team reach their first
Grand Final.
Loughborough Lightning went on to win the final.
Giants Netball In 2024 she was contracted as a training partner and temporary replacement player for the
GIANTS Netball playing in the
Suncorp Super Netball. On 4 June 2024, Chelsea announced her immediate retirement from Domestic netball and played her last game against the NSW Swifts. ==International career==