The £13m midfielder and fellow new signing Nick Powell are scheduled to take part in the Red Devils' games in South Africa and China ahead of the new season
The £13 million man is one of few players who are a certainty to travel, after Sir Alex Ferguson's pre-season plans were disrupted by Euro 2012 and the Olympic Games.
Nemanja Vidic, Darren Fletcher and Chris Smalling will not be considered as they step up their recovery from long-term injuries ahead of the new campaign.
However, fans are set to get their first glimpse of Kagawa since his move from Borussia Dortmund whilst under-18 star Nick Powell is also set to feature after recently joining from Crewe.
"It's obviously very difficult in a year when we have had a Euro tournament and we also have the Olympics this year," Ferguson told reporters.
"The final squad hasn't been decided yet but we will be taking the strongest team we have available.
"We are all looking forward to the pre-season tour. I am delighted that our new newest signings, Shinji Kagawa and Nick Powell, will be in the travelling squad along with more established players, such as Rio Ferdinand, Michael Carrick and Ji Sung-Park."
Ferguson also underlined the importance of a testing pre-season campaign, adding: "I have always said how important it is to get a good pre-season behind us.
"We saw the impact a good pre-season had on the start of last year's campaign."United have already confirmed games against Barcelona and Didier Drogba's new club Shanghai Shenhua but have yet to confirm their remaining fixtures.