After Williamson failed to cut out a pass to Caicedo, the 20-year-old executed a calm finish in Real’s sole on-target attempt of the first half.
At Estadio Alfredo di Stefano, Arsenal struggled on a terrible field in damp circumstances.
Wright, a former striker for the England men’s team, called the playing field a “disgrace” on social media.
The Real Madrid men’s reserves’ home field rapidly degraded, making it challenging for both teams to play free-flowing football.
Arsenal did, however, have several opportunities.
Beth Mead came near from beyond the box at the conclusion of the first half, but Stina Blackstenius’s combination with Alessia Russo forced Misa Rodriguez into a flying save at 0-0.