Tucson elects a mayor and city council on November 5, 2019, in a partisan election. The Green Party candidates were all write-in candidates in the Green Party primary. According to this story, all four of them received enough primary write-in votes to be placed on the November ballot.
The Green Party is not ballot-qualified in Arizona, but it is ballot-qualified inside Tucson, and has been for some years. Because it has ongoing status inside Tucson, as opposed to being a “new” party, it faced a requirement that its write-in candidates poll a certain number of write-in votes, as opposed to getting just one write-in.