Rodgers took over at Anfield eight months ago, following two years of success as Swansea boss, that saw him lead the Welsh club into the Premier League and receive plaudits for their possession-based style of play.
It was this that prompted Reds owners John Henry and Tom Werner to make their move for the 39-year-old Northern Irishman and Gerrard believes they will ultimately be rewarded with success.
"He gave up a top job in a comfortable situation at Swansea, where he'd done fantastically well, and had the bottle and the character to come and take this big job on," said Gerrard.
"Our fans demand that we are successful and that we win and if you are looking for a young manager out there who has everything going for him who can help us achieve that success I think you pick Brendan Rodgers.
"Now the responsibility and the pressure is shared with the likes of myself and Jamie (Carragher) because it is a tough club as well with the demands and expectations on a daily basis."
The Reds have been inconsistent so far this season and currently lie seventh in the Premier League table, but beat Norwich 5-0 in their last match and this weekend take on Oldham in the fourth round of the FA Cup.
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