Gundogan took aim at Ronald Araujo, Robert Lewandowski and Joao Cancelo in a post-match blast as Barca were eliminated from the Champions League.
With the locker room split after the comments, Xavi chose to cancel training on Thursday, says Sport.
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In the aftermath of the backlash, Gunoogan's wife Sara posted to social to recall his winning roots with Manchester City: "This man is a guy who works hard and his football opinions aim to improve and he's giving his all for this team. His mindset is a Treble mindset."
Xavils decision was a surprise particularly with the El Clasico this weekend against Real Madrid.