Answer:
Andre and I cooked chicken on the grill.
Step-by-step explanation:
The word missing is the subject, that is to say, the one that performs the main action (cooked) of the sentence; therefore, we should complete the sentence with a subject pronoun. There are seven of them: I, We, You, He, She, It, They.
The other options, on the other hand, are incorrect because him, her and me, are pronouns that do not take the place of a subject but of an object (the one that receives or is affected by the action).