Reports over the summer stated Barca were interested in signing the Swedish centre-back.
Lindelof told Expressen when quizzed on the Barca speculation: "There was a lot of writing about it. But for me, I have a contract with United and I am the loyal type.
"For me it was never a question either, I wanted to stay in United and believe very much in what we have going on and that is also why I signed a new contract. I love to represent United and to wear that shirt every day.
"My goal when I came here was to win titles and do well for all supporters. But I haven't won a title yet, so it's my big goal to take home big titles with United.
"If we get to the level we can do and everyone can do their best, we can win trophies."