The 49-year-old USA coach says he would hand the Bayer Leverkusen forward a place in his squad if he was still in charge of Germany
Due to a series of recent snubs, the 29-year-old has declared himself unavailable for selection while trainer Joachim Low remains in control of the Mannschaft national team.
Kiessling has been absent from the international scene since 2010, but Klinsmann has revealed that he would include last season's Bundesliga top scorer in his squad for the World Cup next summer.
"I don't know if he would play or not because there are many options but I would include him in the squad," he told Bild.
Klinsmann, who now coaches USA, has already booked his team's place at the tournament in June, while Germany are almost certain to seal their ticket to Brazil, with Low's men sitting top of Group C with two fixtures remaining.