The 32-year-old captained the Three Lions throughout the qualification period, and netted the second goal in a 2-0 win over Poland to secure their passage to Brazil.
And Rodgers feels the younger members of the squad can learn from Gerrard, who he classes as an "ambassador" for club and country.
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"Jack Wilshere will learn from him. The boys in the England squad will learn from him. England should be honoured to have some like that on and off the pitch.
"I know through working closely with him that he’s very proud to play for his country. He probably knows this [tournament] will be his last shot, and he will give everything.
“He’s a wonderful ambassador. He always thinks of others. He doesn’t say a great deal but when he does, the senior players and the younger players, all of them listen."
Gerrard played all but 18 minutes of Liverpool's Premier League campaign last season before injury saw him miss the final two games, and Rodgers admits he is continually impressed by the skipper's work rate.
"That’s what marks him out," said Rodgers. "It’s the 88th minute of the game [against Poland], people may have been nervy at 1-0 and he still drives the team on and has that fitness and quality which is brilliant to see.
"It’s remarkable really. You saw with the goal, breaking forward with power and pace and just when it looked like the ball was getting away from him, he just got that great finish.
"He’s a big player, and the big players score the big goals and make the big contributions in the big games. That’s what determines a great player. That’s what Steven Gerrard is."