The Hammers could draw one of the eight teams dropping down from the Champions League, including Barca and Borussia Dortmund, in the last-16 stage.
On possibly facing Barcelona in the knockout stages, Noble told BT Sport: "What a draw that would be for everyone.
"Just because Barcelona dropped out the Champions League doesn't mean they're a bad side.
"They have some incredible players. I'm excited to see who we get because the boys will be really looking forward to it."