They'll be teaming up in the All-Star Home Run Derby, too.
Ortiz is the captain of the American League team, and he said Sunday he had selected Gonzalez and Toronto's Jose Bautista, one of the starting outfielders, as part of his four-man Derby team.
Teixeira said that despite texting with Ortiz about playing, he'd rather spend time with his family.
"I'm not going to go out there," Teixeira said.
Instead, Teixeira's teammate Robinson Cano has taken the spot.
"He's in," Ortiz said Monday. "We talked earlier today. To put him in was a simple decision."
"I'd definitely consider it," Hamilton said Sunday, before Cano was chosen. "I'm not saying for sure I'd do it, but it would be a fun thing to take part in the first one like that ever with the guys that would be there with you doing it."
Gonzalez is hoping to better his previous appearance in the Derby, when he only hit two homers in St. Louis.
Ortiz will be asking AL home-run hitters to beat a squad of sluggers selected by Milwaukee Brewers first baseman Prince Fielder. Ortiz (2010) and Fielder (2009) were tabbed by MLB to pick the teams because they are the last two players to win the contest. Ortiz and Fielder will each pick three teammates and the leagues will compete against each other in this year's event.
Steve Krasner is a regular contributor to ESPNBoston.com. Information from ESPNBoston.com's Joe McDonald, ESPNDallas.com's Richard Durrett and ESPNNewYork.com's Mike Mazzeo was used in this report.