When a pronoun is part of a compound subject, complement, object, or appositive, put it in the same case you would use if the pronoun were alone.

To decide whether to use the subjective or objective case in a compound structure, mentally delete the rest of the compound and try the pronoun alone.

Mentally deleting Anh and results in Come to the park with I. Rewrite as Come to the park with Anh and me.