Previous reports had suggested the Gunners were considering a £10 million swoop for the Germany international, following the exits of central defenders Sol Campbell, William Gallas, Mikael Silvestre and Philippe Senderos this summer.
The manager of the north London club, Arsene Wenger, had previously refused to comment on speculation surrounding a potential splurge to shore up his back line, only leading to some more fanning of the flames of speculation.
However, the general manager of the German club has remained resolute that the 25-year-old cente-back will remain at the Weserstadion.
"Per is 100 per cent for Werder, I have already said several times. Nothing has changed. Per and his advisers have so far not reported [to training, after being given extra leave following the World Cup] due to a request from us," Allofs told Bild.
However, the case of sought-after midfielder Mesut Oezil seems less clear cut, as Allofs hinted that the club would consider a sale at the right price.
"Many clubs have expressed interest in him, but no concrete offers have been made," he said.
"If we get an offer, we will deal with it. Then anything is possible."