A 12-year-old boy was "extremely remorseful" after sending racist messages to Crystal Palace forward Wilfried Zaha, police said.
He has received education sessions "as part of the restorative justice process" following the incident.
Ivory Coast winger Zaha, 27, had called for "action", "education" and "change" after the abuse on social media.
Police say he backed their approach, which involved the use of anti-discrimination charity Kick It Out.
The boy was arrested after Zaha revealed the messages before a defeat at Aston Villa in July.
A West Midlands police spokesperson told BBC Sport: "The boy was extremely remorseful for his actions and has received education sessions as part of the restorative justice process.