You pick L so that, at your required frequency you have a resonant circuit. So you need to know roughly what the capacitance of the piezo is at your chosen resonant frequency. If you want to know the maximum audio frequency of your piezo, connect it in series with a resistor and connect them across a signal generator, sweep up the frequency from low to high and you'll hear the peek sound. You'll also sweep through a few other maximum peeks as well. choose the one you like and use that frequency to work out your value of L
Also remember that you can increase the sound levels with a resonant chamber.
The principle is, the short pulse sets the tuned LC(piezo) resonating; passing energy back and forth between the inductor and the capacitive piezo, that energy transfer is decaying but taking longer than the initial pulse. So for a very short pulse you have an extended audible sound. Keep pulsing it at the right time and it will continue to resonate.
If you have a scope, a quick and dirty experiment is to put a coil ( any value for now ) in parallel with your piezo, connect the scope across the two and then just quickly momentarily tap a supply across the circuit, you'll see on the scope the resonance and decay. Single shot is good for this and measure the period of the sine wave you have on the screen to work out the resonant frequency for that LC combination
