Harry Maguire, who had been recovering from injury, had only one session on grass prior to the match and was ultimately responsible for two of the Foxes’ goals.
This prompted Bailly to ask Solskjaer why he picked “a centre-half who was not fit”.
Bailly, 27, has played in just 41 games under Solskjaer and was pushed further down the pecking order by the summer arrival of Raphael Varane from Real Madrid.
The Ivory Coast international’s only appearance this season came in the EFL Cup. He is yet to play in the Premier League or in the Champions League.
Solskjaer has insisted he remains the right man for the job, despite increasing reports he could be dismissed.
Watch: Solskjaer final decision made by Manchester United