However Giggs has insisted he has had no contact with either club, telling Sky Sports News: "I'm not too aware of it. Unless anyone has approached me, then it's not true.
"As a player and a person who has been in football for so long, that's all they are, rumours. If I did speak to someone, I would keep it between myself and the club."
"I have 25 years or so as a player then towards the end as a coach and I've had a year off," he added.
"For the first time in 25 years, where I've had a year off, got the chance to do different things and I've enjoyed it.
"But I've always said I want to eventually become a manager or coach but I am in no rush. It is all about picking the right team and the right club."