The 25-year-old helped SC Braga qualify for the UEFA Women's Champions League with a third-place finish in Portugal's top division before joining the 'Nix.
A history maker at the Mariners, Husband became just the fourth female head coach to secure a Ninja A-League Championship prior to her departure from the club.
A key figure in City's consecutive Premiership titles in 2023-24 and 2024-25, Pollicina departs as a significant contributor to the club's recent success.
The former New Zealand Under-17 women's assistant coach has signed a two-year contract with the Jets, set to run to the end of the 2026-27 Ninja A-League season.