The French international midfielder was omitted from David Unsworth's squad for yesterday's Premier League fixture against Watford, three days after he was sent off in Lyon for two bookable offences in the Blues' 3-0 defeat.
Speculation has been been rife that both Schneiderlin and Kevin Mirallas, also left out of yesterday's team, either walked out of training on Saturday for failing to take it seriously or were told to leave by coach Duncan Ferguson if they couldn't knuckle down but Schneiderlin rejects the reports.
He took to social media this afternoon to post a statement that read:
I have seen press stories today about me "being sent away from training". The stories are not true. I am fully committed to Everton and will continue to work hard for the Club and the fans in training and on the pitch.
For his part, Mirallas has also addressed the situation, albeit on rather more vague terms. The Belgian posted a message to Instagram thanking fans for all their messages to him.
"It's a difficult situation for me," his post read. "But in life there are things much more serious than my personal situation."
Mirallas, who signed a new three-year contract earlier this year but then angled for a move back to Olympiacos during the transfer window, has not featured for the Blues since being substituted at half-time at Leicester nine days ago.