IRF520 driver module suitable for my project?

I em searching for the most efficient and easiest solution
for my project.

Would this driver module be suitable?

Some one in the customer reviews wrote that he could use it with a ESP8266.

The remaining question would be whether this driver module could be used in a way that
only then power is consumed if the circuit is closed / brake is set or while switching?

Something to think about. The ESP8266 is a 3V3 device the threshold for the IRF520 if 4V. That tells me it will not work!

No. Use logic level MOSFETs with 3.3 to 5V systems.

As it was said mentioned module won't work properly with ESP, but you can choose another modules. For example

etc