Both caused a storm at United after contradicting their manager's comments.
Asked if it would be better sorted behind closed doors, Rangnick said: “It's always better. I never ever read or communicate by those social media accounts.
“I don't exist there and wouldn't have time to do that so therefore it's always better and I always communicate with the players directly.
“I did that with Anthony Martial and Jesse but maybe I'm a different kind of generation. My generation didn't grow up with those kind of things.
“I can even remember a time when there were no mobile phones or internet so for me it's always better to communicate directly.
“I know in both cases what I said to the players and what happened so for me there's no reason to discuss this anymore."
Last week the boss said Lingard had asked for time off after his loan move to Newcastle collapsed on the back of Mason Greenwood being suspended.
Lingard took to social media to deny this, claiming the club had advised him to take the time off.