Fill in the blank with the verbs that agree with the subject.
Neither the player nor his sponsors _____ satisfied with the reception the work is receiving.

The correct answer is: Are

When 'or' or 'nor' joins two elements, use a singular verb if both elements are singular. However, if one of the elements is plural, use a plural verb. 'Neither the player nor his sponsors are satisfied with the reception the work is receiving', here 'player' is singular, but the word  'sponsors' is plural. Therefore, 'are' is correct.