Daniel Straily's major league debut, meanwhile, didn't leave much to be desired.
Greinke takes the mound opposite Straily on Wednesday as the visiting Angels conclude a three-game set with the Oakland Athletics.
After taking Monday's series opener 4-0 behind a dominant display from Jered Weaver, Los Angeles (59-52) fell 10-4 on Tuesday thanks in part to C.J. Wilson's lousy performance. Jonny Gomes, Josh Reddick, Derek Norris and Adam Rosales each went deep for Oakland (59-51), which snapped a three-game skid and moved into second place in the AL West - one-half game ahead of the Angels.
"It just shows you the resiliency of this team," Gomes said. "Weaver has to be the leading candidate for the Cy Young Award and all you can do against him is try not to ruin your swing for the next game. Nine innings is plenty to not score runs and it was nice to pile some up."
While the A's appear to have a difficult matchup versus Greinke, he's gone 0-2 with a 5.91 ERA over his last seven starts - including an 0-1 record and a 5.14 ERA in two outings since joining Los Angeles.
After giving up both runs during a 2-0 loss to Tampa Bay on July 29 in his Angels debut, Greinke was hit hard Friday in an 8-6, 10-inning road defeat to the Chicago White Sox. The right-hander was tagged for six runs and 10 hits over seven innings, yielding four runs in the first.
"It's just what you do," Greinke, acquired from Milwaukee before the non-waiver trade deadline, told the Angels' official website. "You've just got to keep making pitches and limit it as much as possible. Four is a really bad inning. You don't want to ever let that happen, but you can't dwell on it. You've just got to start making your pitches."
Greinke has held his own versus the A's over the course of his career, going 5-1 with a 3.09 ERA over nine starts, but he hasn't faced them since 2010. Greinke may be wary of Gomes, who is 3 for 10 with two homers - and six strikeouts - in their matchups.
Having averaged a minor league-best 11.39 strikeouts per nine innings, Straily (0-0, 1.50 ERA) lived up to his billing in his first big league appearance. The 23-year-old right-hander allowed one run, five hits and one walk while striking out five over six innings Friday against Toronto.
He was in line for the victory until the Blue Jays tied the game with three runs in the ninth, with the A's eventually winning 5-4 in 15 innings.
"We've had many late nights watching the A's in extra innings in the clubhouses in Double-A and Triple-A, so to be in this clubhouse watching it and being a part of it has been a surreal experience," Straily told the Athletics' official website. "It's definitely been a dream come true here. Having my debut end in walk-off fashion couldn't have been any better."
Straily will do his best to slow down Mike Trout, who became the fifth player to homer on his 21st birthday Tuesday, joining Ted Williams, Frank Robinson, Alex Rodriguez and Jason Heyward. He is the youngest player to ever post a 20-homer, 30-stolen base campaign.
"Right now it means nothing. That's the kind of stuff that pops up at the end of the season," said Trout, who leads the majors with 87 runs scored despite having played in just 88 games.