Left sided lateral gaze is affected in lesion of -
Horizontal eye movements (Fast one or saccadic) are triggered by the centro lateral frontal lobes i.e. left lateral gaze palsy is caused by right frontal lobe Abducens nuclear lesions produces a complete lateral gaze palsy Ref
Right frontal lobe
Right occipital lobe
Left occipital lobe
Left frontal lobe
Ocular motility and squint