I hope I understood your question correctly.
First off, lets consider a circuit, just a simple circuit that has a battery and an LED connected by wires. The LED glows because the electrons moved from one terminal of the battery to the other terminal. That's what you already know. Particles will flow if there's a potential difference affecting them.
Now lets come to the observing an electron part. Usually when they say "observing a particle" it means that you observe it using EM waves. EM waves have energy that they can impart to the particles under observation. Since, electrons have such low mass they can easily absorb the tiny amount of energy to make transitions in the orbitals that they're moving around the nucleus. (By Heisenberg's uncertainty principle either the momentum or the position will change upon observation).
In a circuit the electrons are jumping atoms due to a potential difference. You don't need to put any "observational energy" to make them move. That means you don't need dwarves looking at them to make them move. They're moving because they're compelled by the "power of potential difference".
To clarify in one line --- When you see something that small it mean you're putting energy into it changing it's position. But to move that particle you don't always need to "see" it. It might be moving already due to nature.
P.S. I urge other users to correct me if I'm wrong instead of ridiculing. Thanks! :)