The 34-year-old defender has also called time on her club career with Birmingham City.
Quinn started out at senior level with Peamount United before going on to join Notts County and Arsenal in the UK.
She also had stints in Sweden and Italy.
At international level, the Wicklow native made over 100 appearances for Ireland and featured at the 2023 World Cup in Australia.
Ireland boss Carla Ward says Quinn retires as a legend of Irish football.
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