In practice, the g force applied for orbital corrections is very small. The satellite operator has plenty of time to make the correction, and if you are capable of accelerating the satellite at more than a small fraction of a g, it suggests that you brought too much mass along in the form of a rarely used, over-powered engine.
For the ISS in particular, acceleration during reboost ranges from 0.008 m/s^2 to 0.0185 m/s^2, that is, 1/1200 g to 1/500 g, depending on whether the reboost is done by the Zvezda module or a docked Progress supply ship. Correction burns are typically done once or twice a month, and take several minutes to execute.
A hypothetical 4.4 ton satellite in LEO using a single R-4D hypergolic thruster producing 440N for reboost would accelerate at 0.1 m/s^2 or 1/100 g.
In geosynchronous orbit, some satellites are using efficient electric thrusters with even lower thrust. The USAF's AEHF communications satellites mass about 6 tons, and use Hall-effect thrusters which produce 270 milliNewtons (!) of thrust. This yields only about 0.00004 m/s^2 acceleration, or 4 micro-g. In this case, the maneuvering isn't to reboost from drag losses, but to correct for any other causes of drift - measurement errors from the last time the satellite was maneuvered, solar wind, thermal radiation effects, etc.