**Core Concept**
The cranial part of the accessory nerve (CN XI) is involved in the innervation of muscles of the soft palate, pharynx, and larynx. The damage to this part of the nerve can result in weakness or paralysis of these muscles, leading to symptoms such as difficulty swallowing, drooling, and hoarseness of voice.

**Why the Correct Answer is Right**
The cranial part of the accessory nerve innervates the following muscles:
* Palatopharyngeus
* Palatoglossus
* Salpingopharyngeus
* Stylopharyngeus
* Cricothyroid muscle is not innervated by cranial part of accessory nerve, it is innervated by external branch of superior laryngeal nerve. The cranial part of the accessory nerve is involved in the innervation of the above-mentioned muscles, which are responsible for swallowing, speech, and voice production.

**Why Each Wrong Option is Incorrect**
**Option A:** Not provided.
**Option B:** Not provided.
**Option C:** Not provided.
**Option D:** Not provided.

**Clinical Pearl / High-Yield Fact**
It is essential to note that the cranial part of the accessory nerve is often involved in tumors such as schwannomas, which can cause symptoms such as difficulty swallowing and hoarseness of voice.

**Correct Answer:** D