Cordero, who was perfect in his first seven save situations, allowed Cody Ross' game-tying three-run home run in the ninth inning Wednesday. The Reds watched a six-run ninth-inning lead evaporate before winning the game on Paul Janish's first big league hit, a walk-off single in the 10th.
The Reds were the last team in the Major Leagues to blow a save.
Cordero, whom the Reds signed to a four-year, $46 million contract in November, is fully aware of the fans' lofty expectations of him.
He responded to his first rough outing of the season by pitching a perfect ninth inning in Friday night's 4-3 win over Cleveland, striking out all three batters he faced.
"Especially after you give up a home run to tie the game in the ninth inning, fans get a little bit upset," Cordero said. "To send the crowd home happy is a pretty good feeling. It was a good game because we got the 'W.'"
Cordero, who had 44 saves for Milwaukee last season, posted a career-high 49 saves for Texas in 2004. The Reds signed him this offseason to help stabilize a bullpen that struggled throughout last year.
"I was mad at myself [Wednesday], because in that situation, I'm supposed to get a save," Cordero said. "We should've gotten the 'W' that night. We got rained out [Thursday], but the good news is I jumped right back in it."
In 18 appearances this season, Cordero is 1-0 with a 2.45 ERA and eight saves. He's struck out 21 batters and allowed just five earned runs in 18 1/3 innings.
Cordero, who had pitched in four of the previous five games entering Wednesday night's contest, felt fresher Friday night.
"I had three pitches, I threw them and they all worked," he said. "The other night, nothing was working. I had really good location [Friday]. I threw the fastball, slider and changeup. I got a strikeout with a fastball, a strikeout with the slider and I got the last batter with a changeup. Everything was working."