Ireland goalkeeper David Forde thwarted Alex Oxlade-Chamberlain and Theo Walcott in the second half, while Daniel Sturridge will not face Brazil after picking up an ankle injury
Shane Long gave Giovanni Trapattoni's men a 13th minute lead before Frank Lampard's scruffy equaliser 10 minutes later levelled matters.
England grew further into the game in the second half, with Alex Oxlade-Chamberlain and Theo Walcott both thwarted by Ireland goalkeeper David Forde, and Hodgson was content ahead of Sunday's friendly against Brazil, despite a second consecutive draw against modest opposition.
"I was very pleased with the second-half performance," Hodgson told ITV. "I was very pleased with the performance throughout the game.
"We had sufficient dominance and sufficient goal chances to win the game, but we must give a lot of credit not only to the Irish goalkeeper but their whole team for putting so much into the game.
"They really put an awful lot into it and working very hard to stop us. I can't complain about the way we went about our business, I'm just a bit disappointed it led to a draw and not a victory.
"To be fair, we were a little bit unlucky in the sense they did score a good goal, but it was really the one occasion in the game they looked like they would score. Most of the time they were working very hard to defend and keep us at bay.
"We were probing and trying allsorts of ways to get around them. We had a couple of chances in the second half - the first one to Oxlade-Chamberlain, the second to Theo - and I thought it was going to be our night.
"The important victories our the ones we have to get in the qualifying matches, and I'm a lot happier after this performance than I was after our last performance."