The 30-year old striker has been linked with a move to England in the past and it has also been suggested that he could exit Leverkusen to play in North America's MLS.
However, Kiessling says he is content at the BayArena and has no need to leave North Rhine-Westphalia anytime soon.
"I am under contract at Bayer Leverkusen for three more years. I would like to complete that contract," he told Die Welt.
"What happens then depends on many different factors, like the manager, the team and my physical condition. There is no use planning in advance.
"Many people in recent years have told me that England would suit me, but if that was the case then I would have gone there.
"That has not been the case and I am enjoying it at Bayer Leverkusen.
"Would I move to America at the end of my career? That's possible, but I'm not in a position to make a decision now. Everything is great for me at the moment."
The six-time German international joined Leverkusen from FC Nurnberg in 2006 and has since scored 136 goals in more than 300 outings.
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