Some reports suggested that a deal was close to completion.
Vermalen, who currently has one year left on his deal at the Emirates Stadium, has been strongly linked with a move to Old Trafford - with some reports in recent weeks even saying a deal is close to conclusion.
But the Belgium defender is currently focused on participating at the World Cup in Brazil for his country.
He told Sky Sports News: "I know there has been a lot of talk and a lot of rumours but the only thing I can say is that it's not true.
"Everybody understands my situation at Arsenal and that I have one year left.
"I understand that people are going to talk but I am here in Brazil and I am enjoying my time and I'm focused on what I am doing."
Despite being the club captain at the Gunners, Vermalen has had to play second fiddle to the centre-back pairing of Laurent Koscielny and Per Mertesacker, with Kieran Gibbs occupying the left-back role.
This means Vermalen's game time has been limited and some have cited that as possible reason for him to leave the FA Cup winners, and with United in need of defensive reinforcements going into their first season under Louis van Gaal - it seemed the perfect fit.
But it would appear that's currently not the case but a lack of first team football next season could see Vermalen turn down any new contract that could be offered by the club.
However, a later comment still leaves an element of doubt over whether he will stay at the Emirates Stadium for the next season on whether he has held talks with manager Arsene Wenger about his future at the club.
He added: "We talk a lot when I am at Arsenal but it's not what I am going to discuss here, it is something you are going to have to ask him."
Reading between the lines, maybe this transfer story still has some running to do yet.