Well, it is good to be honest, of course, but if they are interested in "innovative" teaching methods you aren't helping yourself. If they are asking the question, I'll guess that they are looking for innovation and modern methods of course delivery.
But, rather than being dishonest, I just suggest that you take some time to investigate things like "active learning" and the psychology of learning. Lecture reaches only a portion of your audience.
I suggest a book that might help you think about the issues: The Art of Changing the Brain by James E Zull.
At a more detailed level, things like the flipped classroom are worth investigating.
But not every institution will have these concerns. There are plenty of places where traditional methods of instruction are widely used without issue. This particular place may just be a poor match for your skills.