Butland, 19, made his debut for England in a friendly international against Italy last month and also featured for Great Britain at the London Olympics.
"Jack's a great young keeper, I spoke to him throughout Euro 2012 and during the Olympics," Hart is quoted as saying by The Sun.
"He's a great prospect but he just needs to play now. To play in the Olympics at 19 is a great experience for him.
"He's got a massive future at the top."
Butland was also part of England's Euro 2012 squad as a replacement for the injured John Ruddy, but did not make any appearance in the competition.