Keane was critical of his team-mates in an interview which was pulled from the club's own television station - MUTV - on Monday.
According to the Daily Mirror Keane told the channel. "There is talk about putting this right in January and bringing players in. We should be doing the opposite - we should be getting rid of people in January."
Keane who is sidelined with a broken foot made his reported remarks in the aftermath of a 4-1 drubbing by Middlesbrough on Saturday.
It left United seventh in the English Premier League 13 points behind leaders Chelsea with one game in hand.
England defender Rio Ferdinand was one of the team-mates Keane singled out for criticism.
"Just because you are paid 120000 pounds a week and play well for 20 minutes against Tottenham you think you are a superstar said Keane.
"The younger players have been let down by some of the more experienced ones - they are not leading. There is a shortage of characters.
"It seems to be in this club that you have to play badly to be rewarded. Maybe that is what I should do when I come back - play badly."
Manchester United chief executive David Gill took the decision that Keane's interview would not be broadcast but Wednesday's Daily Mirror carried excerpt of Keane's inflammatory remarks.
Keane whose contract at Old Trafford expires at the end of the season added that he was not shocked by the heavy defeat at the Riverside.
"I wasn't surprised by the result. I had been expecting one like this. The players have been asked questions and they are just not coming up with the answers.
"I am sick of having to say it and they are sick of listening to me. They have let down the club the manager and the fans."