**Core Concept**
The oculomotor system is a complex network of brain regions and cranial nerves that control eye movements. Lateral gaze is mediated by the frontal eye fields, which are located in the frontal lobes of the brain. Damage to these areas can result in impaired lateral gaze.

**Why the Correct Answer is Right**
The correct answer is A. Right frontal lobe because the frontal eye fields are responsible for generating the motor commands for horizontal gaze. The right frontal eye fields control the left lateral gaze, and damage to this area can result in impaired left lateral gaze. This is due to the contralateral control of the frontal eye fields, where the right frontal lobe controls the left eye and vice versa.

**Why Each Wrong Option is Incorrect**
**Option B:** The right occipital lobe is primarily responsible for processing visual information, not controlling eye movements. Damage to this area would not affect lateral gaze.
**Option C:** The left occipital lobe is also involved in processing visual information and would not be responsible for controlling left lateral gaze.
**Option D:** The left frontal lobe would control the right lateral gaze, not the left.

**Clinical Pearl / High-Yield Fact**
When assessing patients with impaired lateral gaze, it's essential to remember that the frontal eye fields are responsible for this function. Lesions in the frontal lobe can result in contralateral hemiparesis and hemisensory loss, making it crucial to examine the patient's entire neurological status.

✓ Correct Answer: A. Right frontal lobe