Hello sir, I work with accelerometers. Any modern accelerometer would work in space. In fact there is still a G component while you are in orbit! However the strength of the G component is somewhat less the further you are from Earth. This principle is explained nicely by this image:

So while your accelerometer should read 9.8 m/s while on the surface of the earth, it will read something a little less while you are in orbit. However, you will not fall to the Earth while in orbit as long as you keep traveling at "vOrbit" m/s relative to the ground. I hope I helped. Cheers!