The Clarets held the Gunners to a 0-0 draw at Turf Moor and could have taken all three points after an impressive showing.
Jenas thought the hosts were much the better side, and when reviewing the game for MOTD2 didn’t hold back in his criticism of Mikel Arteta’s team.
“I thought Arsenal were poor,” he said.
“(Burnley’s success) was winning first balls, winning second balls - doing the horrible stuff that Arsenal just weren’t prepared to do today.
“It was a dominant display from Burnley not just from a football point of view but strength of character too.
“Arsenal just went missing in that second half.”
Gunners boss Arteta blamed the pitch for his side’s poor display.
Despite the continued overcast weather in the north-west, Arteta insisted the long grass and a dry pitch had played a crucial role in preventing his side playing their normal game.
Indicating a couple of inches, Arteta insisted: "The conditions were difficult - the grass was this long and they didn't put any water on it, and that's not a very helpful thing to play football.
"I didn't water the pitch yesterday at the training ground because I expected it, but that doesn't make it any easier to play.
"They (Burnley) do what they do really well, and you are allowed to do it so we have to react to that.
"In some moments it wasn't the grass - it was their quality and what they do really well, and we could not do it in the right way."
The draw left the Gunners without a Premier League win since New Year's Day and Arteta was scathing of some aspects of his side's display, conditions aside.
He added: "I was very disappointed with the way we started the second half. For the first 20 minutes we couldn't control any aspect of the game, and we were lucky not to concede a goal.
"We need more consistency. We were fantastic in some moments but we were so sloppy and we put ourselves in big trouble with a lot of unnecessary situations."