If the question is making implicit reference to the conservation of angular momentum, then, as so often the case, "it depends". The source of the change in rotation cannot strictly come from "energy inside the satellite". The satellite can make its exterior rotate faster by means of an internal gyro rotating in the opposite direction. This case would not affect its orbital angular momentum at all.
However, the satellite can use rockets to expel mass to increase its rotational velocity. In this case, well, it depends on how much momentum the rockets impart to the satellite. They could be tuned to keep the overall orbital angular momentum what it was, or they could simply fire in a way which would conserve the satellite's linear momentum and the orbital angular momentum will be affected.
External forces would act like the rockets: "it depends". An alien simply slapping an extended solar panel would increase the angular momentum around the satellite's center of mass and also would increase the linear momentum, which would change the orbit. A pair of aliens situated on opposite sides could make it spin around more without changing the linear momentum.