The 22-year-old has started just four games under Jose Mourinho this term and has been linked with a return to Germany after impressing during his season-long loan stint at Werder Bremen last year.
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"I am going to fly over to London to find a proper solution with Chelsea," De Koster told Express.
"Should Kevin be granted a transfer, I will be immediately on the phone to Michael Reschke [Leverkusen's general manager]. We have a great relationship with him.
"Clubs like Borussia Dortmund, Schalke and Wolfsburg have also enquired.
"Kevin will decide which club offers the best future for him on a sporting level."