Fabregas completed his move from Arsenal to Barcelona on Monday, signing a five-year contract with the Spanish side.
Fabregas said: “For me it’s a special day. I’m returning home.
“I know that the Arsenal fans will be disappointed with my exit from the club, but I’m here to face an incredible challenge, the challenge of my life.”
Fabregas left Barcelona for Arsenal as a teenager and the midfielder is full of praise for Gunners manager Arsene Wenger.
“I’ll never have enough words to thank him for all he’s done for me,” he said.
“I’ll never forget him.
“I don’t think he has such a good image here, he has been portrayed as something he’s not, in my opinion. If today I am here with you then it’s greatly due to him.
“I can’t express my admiration for him strongly enough, I owe it to him that I am here.”