The 38-year-old retired from international duty after Euro 2012, but he reversed that decision last year and is now battling with Millwall keeper David Forde for the number one jersey.
"Because it's such a huge game, I would love to play on Sunday," BBC Sport quotes Given as saying.
"I don't pick the team, I have just got to work hard in training. I have been playing well at Aston Villa when given the chance, and hopefully I might get the nod on Sunday."
Given has not made an appearance in the Premier League for Aston Villa this season, but he has started in each of their FA Cup matches on their run to the semi-finals.