There’s no reason why you can’t use a non-stick pan on an induction stove.  The vital non-stick area - located on the interior of the pan - won’t come into contact with the induction cooktop, after all. The most important thing to remember is the magnetic requirement.  Your non-stick pots and pans will have to pass the “magnet test” if they’re to work on an induction surface - regardless of whether they have any kind of non-stick coating or not!