Righthander Steven Wright has accomplished plenty by getting to the major leagues and appearing in 26 games for the Red Sox over the last three seasons. But he has no misconceptions about his fame.

“I’m just a guy trying to find his place in the game,’’ he said. “Hopefully the best is to come for me.’’

So Wright wasn’t sure what to think when his agent called and asked if he would be interested in participating in a USO tour of five overseas military bases last month.

“I’m no Dustin Pedroia or David Ortiz,’’ said Wright. “But when they asked me to go, I was honored to have the opportunity. I’ve always had an appreciation for the military and was happy to do it.’’

Over seven days starting Dec. 4, Wright visited service members and their families in Italy, Djibouti, Afghanistan, Bahrain, and Germany. He answered questions from the stage, toured the bases, and at one point even played catch in a hangar at Bagram Airfield in Afghanistan with a Navy SEAL.

“An amazing experience,’’ Wright said by telephone from his home in California. “You come away with such an appreciation for what those people do for us by keeping the country safe.’’

Wright was part of an eclectic group. Red Sox teammate Heath Hembree also was on the tour, along with rock singer Chris Daughtry, actress Elizabeth Banks, comedian Sydney Castillo, and comedian/director David Wain.

Singer-songwriters Kyle Jacobs, Brett James, and Billy Montana also helped entertain large crowds at the bases. Wright and Hembree tossed baseballs to the crowd and signed autographs.

Marine General Joseph Dunford Jr., chairman of the Joint Chiefs of Staff, traveled with the group.

There was a Massachusetts tinge to the mission. Along with the two Red Sox players, Banks is a Pittsfield native and Dunford is from Boston.

“He’s a big Red Sox fan and we talked a lot of baseball with him,’’ Wright said. “I think he was glad a few Sox players were around.’’

For security reasons, Wright did not know the itinerary until a few hours before the plane left from Joint Base Andrews outside of Washington. They traveled first to Naval Air Station Sigonella in Sicily and ended with a visit to the US Military Hospital near the Ramstein Air Base in Germany.

“Sometimes we just kind of hung out with people and saw what they did or talked about their families,’’ Wright said. “Really, what we did was bring a little bit of America to where they where.

“It really leaves you with such an impression. If I have a bad day, I might lose a game and people will criticize me. If those people have a bad day, somebody goes home in a body bag. Their lives are on the line.’’

For Wright, there was a personal connection. His father, Roy, is a Navy veteran and his brother-in-law, Garrett Rogers, was in the Army.

“I’m glad I did it and I would do it again,’’ Wright said. “In Boston, the Red Sox are always doing something for the military and I just wanted to do my part.’’

In November, Wright also visited Kenya with former Red Sox teammate Justin Masterson. That trip was in conjunction with a faith-based group that combats poverty.

Wright and his wife, Shannon, had their second child in September, a boy named Lucas.

“It’s been a busy offseason,’’ he said.

Wright was 5-4 with a 4.09 earned run average in 16 games for the Sox last season. He suffered a concussion Aug.?12 and ended the season on the disabled list.

Wright said his symptoms have cleared up and he has started throwing four times a week in preparation for spring training. He plans to arrive in Fort Myers, Fla., on Feb. 3, two weeks ahead of the reporting day for pitchers and catchers.

“I feel great, no headaches or any other problems,’’ he said. “I did a lot shoulder strengthening when I was on the DL and my arm responded well when I started throwing again. From the first time I picked up a ball, it was as good as ever.’’

From afar, Wright has followed the moves the Red Sox made to rebuild their roster.

“It’s amazing what they’ve done,’’ he said. “Getting [David] Price and [Craig] Kimbrel will help us out so much. I had a chance to meet Craig and he’s a great guy and can’t wait to get started with us.

“It’s exciting to think about the season. It’s still a long way off, but now is when you start to get ready.’’

Peter Abraham can be reached at pabraham@globe.com. Follow him on Twitter @PeteAbe.