Drew, who is coming back from a gruesome ankle injury suffered while sliding into home plate last July 20, played all nine innings.
"Overall good," Drew said. "I was excited to get back."
Drew said he expected to be able to play again Thursday. He had played in as many as three straight games during his Minor League rehab assignment.
"I think so," Drew said. "I mean it's nothing out of the norm the back-to-back-to-back. So I'll get back and get my rest, and get ready to play tomorrow."
D-backs manager Kirk Gibson has said the club will evaluate Drew on a daily basis and not push him too hard, too quick.
"I'm sure he was nervous," Gibson said. "Swung the bat good, got his feet wet, and we'll see how he feels tomorrow."
In the fourth inning, Drew singled to right and went to second when the ball kicked away from right fielder Jason Heyward.
"It's coming along, but it's only one game," Drew said. "We've still got a long way to go. Just trying to work the count best as possible, get good pitches to hit and put good swings on it."
Drew looked comfortable in the field when he caught a popup in the second, and then ran into shallow left-center to nab one in the seventh.