"I don't think I'm going to do it if I'm asked," said Gallo, who went into Saturday's game with the White Sox with 21 home runs. That was tied for the fifth most in the American League.
"This is my first year in the big leagues," Gallo said. "I am going to handle what I can handle before I do a ton of events. I'm trying to help the team win. Later in my career, as I get more comfortable, I'll start doing more stuff."
The All-Star teams will be announced on Sunday and Gallo is not expected to make the team. But participation in the Home Run Derby is not limited to those selected to play in the All-Star Game.
According to Statcast™, Gallo entered Saturday as one of seven players who have hit three different home runs measuring 450 feet or more. Gallo's 11 homers with exit velocities of 110 mph or higher rank third-most in MLB this year. Gallo is fifth in average exit velocity on home runs this season (108.1 mph), and second among lefties behind Bryce Harper (108.2).
"I think I have always been able to hit balls far," Gallo said. "But there are more deserving people to have that opportunity. I've got 21 home runs but I'm not an All-Star. Let those other guys do it. When I earn it, I'll do it."
Perez ready to return: Left-hander Martin Perez is ready to come off the disabled list and pitch against the Red Sox on Monday. Perez has been sidelined with a fractured tip of his right thumb and will be making his first start since June 22.
He threw a bullpen session on Friday and is able to field his position without any issues with the thumb. So the plan now is to put him back in the rotation on Monday.
"We continue to trend in that direction," Rangers manager Jeff Banister said.
Yu Darvish will start on Tuesday against the Red Sox and it will be either Andrew Cashner or Austin Bibens-Dirkx on Wednesday. Cashner is still dealing with a contusion on his right forearm after getting hit by a broken bat on Thursday in Cleveland. The Rangers aren't rushing a decision on that.
• July 2 is signing day for international amateur free agents, mainly from Latin America. The Rangers are expected to announce 6-8 signings of what they expect will be a productive class of players.
• The Rangers will be wearing stars-and-stripes decorated caps and jerseys over the next four games for Independence Day.
• Shin-Soo Choo had 19 walks for June, one short of the club record for that month.