All four players are expected to leave United this summer and Lingard's brother Louie Scott branded United 'classless' for not letting the England midfielder end his 22-year association with the club by playing one last time at Old Trafford.
"To start with, in the last couple of weeks under my tenure he has played far more games than he used to," said United's interim boss.
"Number two, on game day against Chelsea, he asked me to release him from the game and training the following day for personal family reasons.
"This was the reason with only three substitutes I had to take a decision between Edinson Cavani and Jesse Lingard, or the young Alejandro Garnacho, who I would have loved to have brought on and given a chance to play.
"I took the decision to bring on Edinson. Had I not brought him on, someone might have asked if it's classless not to bring on Cavani or Garnacho. After two substitutes, you have to take a decision and this will not be to the liking of everybody. This is part of the game."
On Scott's post, Rangnick added: "To be honest, I'm not reading a lot. I've not had the time in the last six months to read. I'm not Instagram, I'm not on Facebook, I'm not engaged in those areas.
"My focus has been to develop the team. In these days with social media, there is always somebody posting something and it's important not to take too much notice of that."
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