The 16-year-old will be signing a first professional contract at Chelsea, rather than staying at Parkhead.
Feruz has also been linked with the likes of Manchester United, Manchester City, Newcastle United and Blackburn Rovers.
“It is a massive step for Islam and for Scottish football,” his agent Rui Alves told Sky Sports.
“Now for him personally it is the beginning of a major adventure, he will have to work, work and work and raise his own level.
“Playing for a top club like Chelsea, where the major word in the squad is quality, will oblige him to show his own quality and deliver his best and convince the staff that he is more than just a major prospect.”
Alves admits that Chelsea impressed his client.
“The first impression was extraordinary, it is a feeling that the whole club is behind him, they will support him on a daily basis and give him total trust and make him believe,” he continued.
He added: “He is looking forward to starting his career with Chelsea, but he would love to thank Celtic for all they did for him and his parents, he is Scottish and will one day score goals for Scotland.”