Does ATZ means controlled airspace?

[Pugachev Cobra]

Hello all!

So, in my class my teacher says that an ATZ is a controlled airspace. So, in order for an ATZ to exist, there has to be a TWR.

But I'm pretty sure that's not true. Could someone here direct me to some ICAO/FAA/other documents, and possibly example charts that shows an aerodrome with an ATZ and no TWR, maybe just AFIS.

Thanks in advance!