Modern piezo microphone impedance-matching circuit
The information representing signal 'coming out' of the piezo transducer is neither voltage nor current. Impedance is the quotient of voltage and current but the signal representing the information, that comes out of the transducer, is actually a charge. 

The best type of amplifier, i.e. which adds the least of noise, is therefore a charge amplifier.
Mainly a low-noise op-amp with the output of the piezo transducer to the inverting input and a capacitor from the op-amp's output back to the inverting input as feedback element. 

This will cause the voltage over the transducer to stay zero so that there is no charge going into the parasitic capacitance of the transducer itself, which would have led to attenuation of the signal, i.e. the charge going into the input terminal of the amplifier which, because the input pin of the op-amp is zero, will now all flow into the feedback capacitor.

Because the same charge goes into the feedback capacitor as is generated by the piezo transducer, the smaller this feedback capacitor, the larger the output voltage, what we normally would call amplification.

If you make a drawing, you will see what I mean. Especially when you put a sign '0 V' near the inverting input pin of the op-amp.

A charge amplifier will give you 'full range', but as @Jasen commented, the amplifier isn't the real problem in this respect. You'll need to find out the frequency response of the piezo transducer, and for the frequency range where it's not 'straight' you'll have to build a compensating circuit.