The singer-actress previously announced that she'd donate her earnings from the ballroom bash to SAG and WGA.
Mraz and his dance partner Daniella Karagach danced to one of his own songs, “I Feel Like Dancing.”
This season's celebrity hopefuls also include an NFL star, an Oscar winner and an MCU actress.
The long-serving adjudicator had been diagnosed with bone cancer.
We've compiled all of Charli D'Amelio's Dancing With the Stars season 31 performances.
Goodman has been the head judge of ABC's ballroom competition series since it debuted in 2005.