Below are some mentions and influences No Doubt have referenced while making Push and Shove:
- Borrowing styles from U2
- "Attitude songs"
- "Ska reggae dance rock electro anthem ballads"
- Band working with a timpani, orchestral bass drums and a farfisa combo
- String ensembles
- Tom, Tony and Adrian all recorded vocals for the album
- "Deep ska roots", "our best yet"
- Steel drums
- Strong '80s and Jamaican influences
- "Lots and lots" of ska and reggae
- No covers will appear on the album
- New wave rock songs
- Gabe McNair was Tweeted playing a melodica
- "There are a coupla epic gtr solos on the record"