The band are currently number two on the UK album chart with new LP Build A Rocket Boys!.
Speaking of his love for the iPhone app, Garvey told the Daily Star: "I love Angry Birds – I'm an Angry Birds ninja; my thumbs are impressive.
"There's no spare time when you're making a record, but when you're promoting there's a lot of it."
Elbow are currently on a UK arena tour, which started in Glasgow last night. Explaining his love for touring, the rocker added: "I know I get this 'Nicest Man In Rock' thing, but I do look forward to seeing the fans and their reactions."
It was recently announced that Elbow would precede U2 at this year's Glastonbury.