Step 1: Understanding the Concept
Hydrolysis happens when an ion of the salt is the conjugate of a weak acid or weak base.
Step 2: Check the Salts
\(\text{NH}_4\text{Cl}\) has the weak base cation \(\text{NH}_4^+\) and hydrolyses. \(\text{Na}_2\text{CO}_3\) has the carbonate ion from a weak acid and hydrolyses. \(\text{NH}_4\text{CN}\) hydrolyses at both ions.
Step 3: Potassium Nitrate
\(\text{KNO}_3\) comes from the strong base KOH and the strong acid \(\text{HNO}_3\), so neither ion reacts with water.
Final Answer:
Potassium nitrate does not undergo hydrolysis.
\[ \boxed{\text{(D) }\text{Potassium nitrate}} \]