When playing as the Red Sox, Alex Bregman is missing from the roster, and when playing as the Mets, Pete Alonso is also absent. Additionally, if you select a different team, neither player is available for trade. Those are just two players I have noticed so far.

CrypticRizen_XBL
@CrypticRizen_XBL
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If a player on your team makes it to the all star game, you should be able to play as that player or players.
March to October Players missing off of roster
All Star Game