A donation page was set up to help the family raise £100,000 towards a treatment trial in France.
West Ham footballers donated £27,000, chairman David Sullivan donated £10,000 and Arsenal footballer and former West Ham star Declan Rice gave £5,000, according to the family.
Mr Noble said: “Oscar was adored by everyone at the academy – not only was he a great goalkeeper, he was a true Hammer and a fantastic young person, who will be deeply missed by everyone who had the pleasure to know him.
“I have wonderful memories of Oscar playing in my garden – [my son] Lenny and his team-mates all loved him.
“The thoughts and sincere condolences of everyone at the club are with Oscar’s parents, Natalie and Russell, and his brother Harry, and we kindly ask that the family’s privacy is respected at this extremely difficult time.”
All scheduled academy fixtures over the weekend have been postponed as a mark of respect.
