To calculate the surface area of a football (which we can consider as a sphere), we use the formula for the surface area of a sphere:

\[
\text{Surface Area} = 4\pi r^2
\]

Given:
- Diameter = 14 cm
- Radius \( r = \frac{14}{2} = 7 \) cm
- \(\pi = \frac{22}{7}\)

Now, substitute the values into the formula:

\[
\text{Surface Area} = 4 \times \frac{22}{7} \times 7^2
\]

\[
\text{Surface Area} = 4 \times \frac{22}{7} \times 49
\]

\[
\text{Surface Area} = 4 \times 22 \times 7 = 616 \text{ cm}^2
\]

Thus, the correct answer is B. 616 cm\(^2\).