According to the Futurama Wiki:
Hypnotoad is a large toad-like creature that has large oscillating multicolored eyes and emits a droning hum. His eyes glow all the time. The toad apparently uses these as a power of hypnotism on surrounding people and animals.
This does not explicitly say his powers do not work on robots, however I personally can't recall any instances where robots were hypnotized by Hypnotoad. Is there ever a scene in the show where Hypnotoad is seen using his powers on robots?