If there is an infarction in the inferior frontal lobe can it affect the hypoglossal nerve?

Answer 1

The hypoglossal nucleus receives corticonuclear fibres from both cerebral hemispheres(including the frontal lobe).An infarction in the frontal lobe can result in a lesion in the corticonuclear fibres from that lobe,thus affecting the hypoglossal nerve.
The hypoglossal nucleus receives corticonuclear fibres from bothe the cerebral hemispheres.However,the part of the nucleus that supplies the genioglossus muscle recieves corticonuclear fibres only from the opposite cerebral hemisphere.
If a patient has a lesion of the corticonuclear fibres,there will be no atrophy of the tongue ,but on protrusion the tongue will deviate to the side opposite the lesion(as genioglossus pulls the tongue forward).

Answer 2

I don't see how that could happen. The Hyposglossal Nerve is derived from the Hypoglossal Nucleus in the brain stem. I do not know of any connection between this cranial nerve and the frontal lobe.