The Hungarian keeper is out of contract in the summer, and has made no secret of his belief that he should be playing in the Premiership.
But with no offers on the horizon, Kiraly would consider staying at Selhurst Park if he felt the club's ambitions matched his own.
"I have enjoyed the last three years here, but my contract is finishing, and I don't know what is the future at Crystal Palace," Kiraly told the official site.
"Are they aiming for promotion, for the play-offs, or to stay in the Championship and build up a new team? I don't know what the target is for Crystal Palace.
"My first option is for Crystal Palace, and I must wait for the response from them. If they don't give me a signal, then I will look for another club."
