**Core Concept**
The question is testing the student's knowledge of anti-arrhythmic medications, specifically their effects on cardiac function. The correct answer is a medication that has a favorable balance between its anti-arrhythmic effects and its negative inotropic effects, making it suitable for patients with poor left ventricular function.

**Why the Correct Answer is Right**
The correct answer is **sotalol**. Sotalol is a class III anti-arrhythmic medication that works by prolonging the action potential duration and refractory period in the heart. It has little negative inotropic effect, meaning it does not significantly decrease cardiac contractility, making it a valuable option for patients with poor left ventricular function. Sotalol's mechanism of action involves blocking the potassium channels (IKr), which leads to a prolongation of the action potential duration and a reduction in the heart rate.

**Why Each Wrong Option is Incorrect**
**Option A:** Amiodarone has significant negative inotropic effects, making it less suitable for patients with poor left ventricular function.
**Option B:** Quinidine has a significant negative inotropic effect and is associated with pro-arrhythmic effects, making it a less desirable option.
**Option C:** Flecainide has a significant negative inotropic effect and is contraindicated in patients with structural heart disease, making it an incorrect choice.

**Clinical Pearl / High-Yield Fact**
It's essential to remember that class III anti-arrhythmic medications like sotalol can cause QT interval prolongation, which can increase the risk of torsades de pointes. However, in patients with poor left ventricular function, the benefits of sotalol may outweigh the risks, making it a valuable option in this population.

**Correct Answer:** D. Sotalol