Eidevall is the long-term replacement for Casey Stoney, who was sacked by San Diego in June.
On this new role, he said: "I am honoured and proud to be named the head coach of San Diego Wave. This is a club with a clear vision for success, both on and off the field, and I am grateful for the trust placed in me to lead this talented team by the Leichtman-Levine Family and Camille Ashton. San Diego is a city with passionate fans and a vibrant football culture, and I'm eager to contribute to building a winning legacy here. Together with the players, staff, and supporters, I look forward to achieving great things and making unforgettable memories for this club."