The following information is regarding TuneCore's Publishing Administration service
No, all of your submissions must be your own original compositions. If you did not write a composition, the copyright is owned and/or controlled by another songwriter and publisher.
You can only submit original compositions, which are compositions that contain music and lyrics composed by you, the songwriter.
For example, “If I Were a Boy” recorded and released by Beyonce in 2008, while made famous by Beyonce, is technically a cover of a song originally written by BC Jean and Toby Gadd. Therefore, Beyonce would not be able to submit this for publishing administration. The composition BC Jean and Toby Gadd wrote is controlled by them and their respective publishers. If they did not have a pre-existing publishing agreement, that song could be submitted for publishing administration with TuneCore.
Beyonce would be able to submit her song “Drunk In Love” for publishing administration for which she is a co-writer. However, Ed Sheeran, who covered the song in 2014, would not be able to submit the song.