Launch it into space. That should reduce the gravitational forces considerably. Just don't aim it towards a star, super-giant, black hole, etc...

Increase the ambient kinetic energy of the background ZPF.

If the question is related to measuring the properties of a solid, and if the measurement can be achieved in a couple of seconds, it may be simpler to drop the whole experiment in a vertical tunnel emptied of air, instead of sending it into space.

However, even sending the experiment in space or dropping it in a vertical tunnel does not cancel microgravity, which is produced by the surrounding devices and the differential external field (the tidal field).  To reduce microgravity one can setup additional surrounding masses such that they strongly reduce microgravity, a bit like the Helmoltz coils reduce the ambiant magnetic field.

https://en.wikipedia.org/wiki/Helmholtz_coil

You could also just build an anti-gravity field generator, or buy a used one on ebay.

I don't think terrestrial gravity has a significant effect at the nano scale, as other forces completely dominate.  Are you sure you need to reduce it?

Going somewhat deeper and having a closer look at the local balance of forces it

can be shown that gravity force can be (partially or perhaps also totally!)

compensated. This finally looks as a reduction of grafity force ("Annihilation" of

gravity). Of course the gravity is present but it is compensated

by other forces. (This is the same effect as the gravity reduction in planes, rockets ,

like the first, second, third or fourth  cosmic speed...).

Bernd

The attempts of reducing forces of gravity interactions on the nanoscale were the

first step to reduce "effective gravity fields".  The next step - a more complicated

procedure- is to compensate gravity at a larger scale. This is indeed the

main goal of my research activities.

At the nanoscale the local forces could be changed without any difficulties. This

experience may be used then for other applications (at larger dimensions).

By the means. The procedure developed can also be used to reduce or

strengthen some other kinds of forces, not only gravitational ones. We now have

been applying the method to change forces effective Diffusion mechanisms of

defects near surfaces...

B.Michel

There obviously is a misunderstanding.

I finally do not want to initiate activities to reduce/compensate gravity effects

on the nanoscale, but want to study effects how compensation

can be done in principle. This will lead to new possibilities to generalize these

procedures to include macroscopic activities , i.e.to reduce/compensate gravity

or other forces on a macroscopic level.

Some  new possibilities were presented in my talks at several universities, at

some Institutes of the Fraunhofer Society(Berlin, Chemnitz...), at the Arnold-Sommerfeld Society in Leipzig and at some other institutions abroad..

I also received a lot of invitations to speak about these research activities

in several countries.

B.Michel

The results of an experiment with 63000 lumen of light reflected to produce 6 horizontal layers show that 0,17% of the force is cancelled  when the object is placed under the light and it gains weight when placed over the light. The results are published on GRAVITYFORCES.COM

This might help.

Article AN ENGINEERING MODEL OF QUANTUM GRAVITY