Entering Sunday, Quintanilla was batting .288 (15-for-52) with four RBIs. He also had a .393 on-base percentage, with seven walks.
"He's been very patient at the plate," manager Terry Collins said on Sunday morning. "He's handled himself well. I think he's more disciplined at the plate than he has been in the past.
"He gets on, he takes his base on balls, he's not chasing out of the zone. So we looked at those things today, and we said we've got to start getting some guys on for the middle of the lineup."
Collins said Quintanilla's recent success -- he had just one hit in 22 at-bats last season with the Rangers -- has come as a result of working with Mets hitting coach Dave Hudgens.
"Because I've never seen him in the past and never saw him play in the past, I really can't tell you what difference he's making," Collins said. "All I know right here is that he's handling himself, and when he gets balls to hit, he's putting good swings on them."