The agent of the Brazilian defender - and his twin brother, Fabio - had remarked earlier on Tuesday that the pair were likely to leave Old Trafford at the end of the season
Cassiano Pereira, the representative of the Brazilian and his twin brother, Fabio, told Calciomercato earlier on Tuesday that, while there will be no movement in the January transfer window, it is "very likely" they can leave the club at the end of the season.
But the Brazil international took to his Instagram account to allay his followers' fears.
In response to some worried fans, he simply replied: "I'm not leaving."
The right back has made just nine Premier League appearances this season and has been substituted in five of those matches.
Fabio has been linked with a move to Cardiff City in January after failing to break into the United side under new manager David Moyes.
The 23-year-old was on loan at QPR last season and has made just three appearances during the current campaign; 90 minutes against Crystal Palace in the Premier League, a last-minute substitute cameo in the Capital One Cup and five minutes against Swansea in the FA Cup before he was sent off shortly after being brought off the bench.
Cardiff boss and former United striker Ole Gunnar Solskjaer recently refused to comment on speculation linking the Bluebirds with a move for Fabio and outcast Wilfried Zaha.