Saturday's league defeat by St Johnstone saw Hearts drop to ninth in the table and Laszlo said he wanted to hold talks with the club's board.
"If it is possible to do what I want to be successful then I do not have any problem to stay here," Laszlo said.
The Hearts boss would not reveal whether he and owner Vladimir Romanov had discussed the club's future.
Laszlo, who last year guided Hearts to third place in his first season at the club, has been unable to resolve his side's goalscoring problems. The 2-1 home defeat by St Johnstone leaves Hearts just two points ahead of basement side Falkirk.
Hearts have struggled to replace Christophe Berra, Bruno Aguiar, Christos Karapidis and Robbie Neilson, who all left Tynecastle in the summer.
Laszlo has already bemoaned the lack of depth in his squad, especially among his attacking options, as they have struggled to repeat last term's efforts.
The Hearts boss has already indicated he would consider his long-term future at Hearts based on how much backing he was given by the board to take the club forward in January.
Following George Burley's sacking as Scotland manager Laszlo also said he would be interested in managing the national side