Gonzaga's goal in the 59th minute Thursday night held up as the visiting Bulldogs shut out Arizona 1-0.
UA ends non-conference play with a 3-4 record. The Wildcats will visit Washington State next Friday in their Pac-12 opener.
The Bulldogs outshot UA 30-9, but goalkeeper Hope Hisey made a career-high 14 saves to keep Arizona close.
UA has alternated losses and wins through its first seven games of the year. Gonzaga improved to 8-1.
