The former Arsenal man has endured a tough season at Camp Nou, having been whistled by the club's fans in certain matches for putting in a number of poor performances.
United legend Denis Irwin has claimed that the Premier League champions "want Fabregas badly", while Tuesday's newspapers suggest that the Red Devils have been encouraged by the player to make a move.
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"It's fascinating how some people can invent these things, I've never opened my mouth about this," he told Onda Cero.
"I’m very happy, it's taken a lot to get where I am and I don't plan on throwing that away for anything.
"The truth is that if I didn't feel that I was wanted it would be different, but I haven't been told anything. I'm very happy, the truth is that I want to triumph with Barcelona. I'm living a dream, it was my dream since I was a child and I would like to fulfil that by working hard."
Speaking about the boos that have greeted him on occasion, Fabregas insists he is not taking the responsibility of playing for Barcelona lightly.
"The public is boss," he added. "If they whistle, I'll have to put up with it. I was the first to know that Barca would be the most important challenge of my life. I just want to play. Barcelona is my home, I've always dreamed of triumphing here.
"I know there are some people who don't like how I play, but these all are challenges in my life and it must make me stronger and let me know I still have a lot to improve if I will be able to succeed in this team.
"The most important thing is to face every good and bad moment as they come. But it's true there have some games when I wasn't ok, for example the one against Bayern Munich. You always have to accept the supporters' opinion. Then I just have to keep fighting so I can be wanted."