Papp started her youth career with the U-12 team of Bravo DSV, where she remained active from 26 October 2012 until 18 September 2013. In September 2013 she joined the young talent center Vasas Akadémia in Budapest, where she spent two years. In September 2015 Papp joined the youth division of Ferencváros Budapest, where she remained active until August 2017.[1]
During this time, Papp made her senior debut with the first team when she was subbed-in in the 46th minute of a Női NB I match against ETO FC Győr.[2]
Papp joined her first senior club, Kóka FNLA, at the time affiliated with Ferencváros,[3] on 14 August 2017 and spent one Női NB I season with them.[1] That season she scored her first goal in senior competition, when she scored against Újpest FC twice in the span of just two minutes.[4]
In summer 2018, Papp return to Ferencváros where she spent six seasons and won the Hungarian Women's Cup twice (2019, 2021), and triumphed in the Női NB I five times (2019, 2021, 2022, 2023, 2024).[1][3]
