Speaking at a press conference at the World Cup, the Spain international told reporters: "There came a moment when I decided my time at Barcelona was over and I only tried to look for the best option for me.
"Arsenal were the first option due to a clause in the contract. We spoke with [Arsene] Wenger and he said that with [Mesut] Ozil they had this position well covered. From there, I had other very good offers and I looked for the best in the Premier League, which is where I wanted to go.
"I spoke with Jose Mourinho and he won me over, he convinced me, told me what I wanted to hear and from there everything was very quick. I hope that this new phase of my career goes phenomenally well."
Fabregas moved to Barcelona in 2011 after eight years with the Gunners.