Her father Gábor Naszályi is a former electric engineer and typographer, who was imprisoned for his participation in the Hungarian Revolution of 1956.
Her mother Mária Naszályi (née Bajusz) served as chief notary of the 1st district until her death.
She served as a landscape architect and project manager for Metropolitan Horticultural Nonprofit Co. Ltd. (Főkert) and later worked with various construction companies starting from 1993.
Her name appeared in the party's Budapest Regional List, but did not secure a mandate during the 2010 parliamentary election.
[7] In accordance with their agreement on 6 April 2019, Naszályi was the joint candidate of opposition parties MSZP, PM, DK and Momentum for the position of mayor of Budavár during the 2019 Hungarian local elections; she defeated incumbent mayor Gábor Tamás Nagy (Fidesz), who administered the district since 1998.