FA chairman Greg Dyke believes Jose Mourinho's reputation has been tarnished following the saga involving former Chelsea first-team doctor Eva Carneiro.
On Wednesday, the Portuguese was cleared by the FA of making discriminatory comments towards the Gibraltar-born doctor who was heavily criticised by the Blues manager after running onto the pitch to tend to Eden Hazard in the opening match of the Premier League season against Swansea City.
Despite being cleared, Mourinho never publicly apologised to Carneiro, who has since left her role with the reigning Premier League champions, which FA chief Dyke feels is a very bad look for the Stamford Bridge boss.
"There have been some well-documented issues of late around equality and inclusion in the game, an issue where it is vital we continue to show clear leadership," read a letter from Dyke to FA council members.
"I felt the handling of the case of the Chelsea doctor, Eva Carneiro, was a good example of this. We supported Heather Rabbatts' strong statement on the matter earlier in the month.
"Personally I don't think Mr Mourinho comes well out of the whole saga - he clearly made a mistake in the heat of a game, and should have said so and apologised. Instead he has said very little and Miss Carneiro has lost her job.
"Our regulatory team have investigated this and whilst Mr Mourinho has breached no rules it was clearly a failure of his personal judgement and public behaviour. This should be seen as such by the game."