The manager has a selection dilemma ahead of the trip to London, with Dimitar Berbatov hoping to be fit and Nani desperate for a start after coming on as a substitute on Tuesday night.
Anderson, who also had a taste of action against Schalke, will hope to take Giggs' midfield place at the Emirates Stadium. But there's no doubt the veteran Welshman will be missed.
"It is a strange thing because Ryan's peak seems to have lasted so long now," said Sir Alex.
"You would think at 37, he would be showing signs of waning. I don't see any evidence of that. We look after him in terms of rest before games.
"He won't be playing on Sunday. He maybe will play next Wednesday. That is the way we have to deal with him now. When he gets that freshness, he doesn't show any sign of fatiguing at all. He is an amazing man."
"We've got selection problems now but that's what we want. We've got an important game on Sunday against Arsenal. It'll be a different team but hopefully we'll get the result we want."
- Sir Alex Ferguson