The correct options are
A Can
B May
Modal Verbs show us the attitude of the speaker to what is being said or done. The term "modal" means expressing mood and mood is a way to express the attitude of the speaker.according to the sentence, a person either can ask for its action on the basis of his/hers ability or a polite permission.
Option A and B are correct answers, because option A expresses the mood of ability to act and is posed as asking permission and option B expresses the strong will to act which is posed as asking permission. therefore both the answers are correct.
Whereas, option C expresses the action to be done in future and option D expresses what should be done. Therefore none of these answers suits the meaning of the sentence.