[1][2] After starting the 2018 season with Shelbourne's youth team for the new Under 17 Women's National League, Ziu was quickly promoted to the club's senior panel.
[5] In 2021 she helped Shelbourne win the WNL title and played in the 3–1 2021 FAI Women's Cup Final defeat by Wexford Youths.
In March 2022 Ziu agreed a summer transfer to English FA Women's Super League club West Ham United.
[7] In October 2022 Ziu suffered an anterior cruciate ligament injury in a 2022–23 FA Women's League Cup fixture against London City Lionesses.
[14] She won a third senior cap in a 1–0 friendly defeat by Belgium, at San Pedro del Pinatar, Spain in January 2019.