Ms Yingluck made her remarks following reports that her self-exiled brother announced that he and the Shinawatra family will consider withdrawing from Thai politics.
She said that she did not cling to power or any political position.
"If it is the need of the majority and peace can (thereby) return to the country, I am ready to do so, " said the caretaker premier.
Ms Yingluck urged all parties to join together to solve the country's conflict and find mutually acceptable solutions through an election or referendum.
She said Thailand had been severely hit by political conflict, particularly the economy, which will be affected until 2015.
The caretaker premier said the new election must be held as soon as possible so that a new government could be formed to run the country and restore confidence among the public.
She urged the anti-government protester leader Suthep Thaugsuban not to obstruct the general election.