Step 1: Understanding the Concept
Variable oxidation states in transition metals come from the small energy gap between ns and (n-1)d electrons.
Step 2: Look at each element
Mn shows \(+2\) to \(+7\), Fe shows \(+2\) and \(+3\), and W shows several states.
Zn has configuration \(3d^{10}4s^{2}\).
Step 3: Conclusion
Zn loses only the \(4s^{2}\) electrons, since the stable \(3d^{10}\) shell is not disturbed. It shows only \(+2\).
Final Answer:
Zinc exhibits only the +2 oxidation state.
\[ \boxed{\text{(C) }\text{Zn}} \]