The Manchester United 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 and Paul Scholes, who also had a taste of action against Schalke, are competing for Giggs' midfield place at the Emirates Stadium but the veteran Welshman still has the boss' praise ringing in his ears.
"It is a strange thing because Ryan's peak seems to have lasted so long now," said Ferguson on the club's website.
"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."
After beating Schalke 2-0 in the Champions League semifinal first leg, United's focus now shifts to Sunday's domestic encounter in the capital. And Fersguson is ready to shuffle his pack again.
"I've got good options because Nani could have played but Antonio Valencia's form showed why he's playing," explained Ferguson. "His performance was absolutely unbelievable. Then we've got Scholes and Anderson, so 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."