On April 20, an Arizona State Court of Appeals reversed the lower court and ruled that if Tucson desires partisan elections for itself, it may have them. In 2009 the legislature had passed a law requiring all cities in the state to use non-partisan elections for city office, but the Court of Appeals ruled that the 2009 law violates the State Constitution. Here is the 24-page opinion, which is City of Tucson v State of Arizona, 2ca-cv2010-0083. The vote was 2-1.
The voters of Tucson had voted in favor of partisan city elections several years ago. No other city in Arizona uses partisan city elections. Generally, Democrats win Tucson elections for city office. UPDATE: this article in the Tucson Sentinel says the losing side is likely to appeal to the Arizona Supreme Court.