Blanton also watched as the A's rallied for three runs in the top of the fifth to tie the game at 3, only to go out and give up three runs in the bottom of the inning, including the home run to Hamilton.
"I was just frustrated, and I had to get out of here," Blanton said.
Blanton, now 3-7, met with manager Bob Geren and pitching coach Curt Young before Sunday's series finale against Texas. Geren said they went over Blanton's pitching chart.
Young said on Saturday night that Blanton just left a couple of pitches up in the strike zone. Third baseman Eric Chavez said that he thought Blanton had good stuff and a good changeup. Young concurred on the changeup, calling it one of the best in the league, but said it didn't fade away from Hamilton on the home run.
Geren said the meeting on Sunday with Blanton was a good one.
"[Blanton] has a real positive frame of mind going forward," Geren said.
Blanton is second in the American League with 86 1/3 innings pitched, and is averaging 6.64 innings per start.
He is also second in the AL with seven losses, one behind league-leader Justin Verlander, and ranks second with 89 hits allowed. He had his third chance Saturday to win consecutive starts, but was unable to do so.
Blanton said before Saturday's start that his goals were to make all his starts and pitch 200 innings, and that the rest of his numbers would balance out by the end of the season.
"I believe it's important to be a guy who pitches six or seven innings per start," Blanton said Friday. "I just want to be consistent and reliable.
Todd Willis is a contributor to MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.