Esta noche, Pedro cocinará gallina para la cena.

It should be noted that the verb must agree in number and person with the subject it accompanies.
Since the statement tells us that the verb is in the future, it must be "cocinará".
It should be noted that they can be discarded until they reach the correct option.
- comerás ⇝ It does not match in person "tú", when it is "él".
- comerán ⇝ It does not match in number with the subject.
- cocinarán ⇝ It does not match in number with the subject.
- cocinará ⇝ Correct