It was reported last week that Forest are considering their first foreign appointment.
The Nottingham Post reports the Hungarian has thrown his hat in the ring to replace Dougie Freedman, who was dismissed following last weekend's home defeat to Sheffield Wednesday.
Despite leaving Hearts six years ago, Laszlo is still based in Scotland, according to the report, and is seeking a role in English football.
The 52-year-old led the Jam Tarts to third in the Premiership in what was his only full season at the helm, and was subsequently named Manager of the Year in Scotland.
Post Hearts, Laszlo managed Charleroi and MTK Budapest - either side of a spell in charge of the Lithuanian national team.
Last week, the Post reported that Forest were keen to appoint an overseas coach for the first time in their 151-year history.
However, an appointment is not expected to be made until the summer, with Paul Williams handed the reins until then.
Former Derby defender Williams is not thought to be in contention for a full-time position.