The 29-year-old signed a new contract last month, which will keep him at the Bay Arena until 2017 and out of the clutches of interested suitors after he scored 27 goals in 43 appearances in all competitions last term.
Those efforts helped Leverkusen to a third-place finish in the Bundesliga and secured qualification for the Champions League, with Kiessling confident the club can secure their first piece of silverware since 1993.
"I want to win a title with Bayer, whether it's the DFB-Pokal, the championship or international" he told Kolner Stadt-Anzeiger
"I still have a few years to achieve that."
Kiessling was also quick to express his belief that a trophy would help Leverkusen establish themselves as one of the biggest clubs in Germany.
"This is the fastest way to draw attention to themselves," he added.
After selling Andre Schurrle to Chelsea earlier this summer, Leverkusen have bolstered their ranks with nine new signings, including the purchases of Emre Can from Bayern Munich and Hamburg's Heung-Min Son.