The 25-year-old insists he is happy at the club and his current contract is set to expire in the summer of 2012.
Juventus, Atletico Madrid, Bayern Munich and Arsenal are all reportedly keeping tabs on the striker.
“I haven’t thought about leaving Bayer Leverkusen for a second. I’m feeling extremely well here and I want to play in Europe with my current club. All the reports linking me with foreign clubs are nothing more than rumours,” said Kiessling to Kicker.