It was widely reported that England striker Rooney was set to leave Old Trafford after being dropped to the bench for United’s 2-1 Champions League last-16 second leg defeat to Real Madrid on Tuesday.
But an angry Ferguson denied those reports, and rumours of a training-ground fall-out with the player.
"Wayne will be here next year," he said. "You have my word on that. I have no issues at all with the player and he'll be involved on Sunday (against Chelsea in the FA Cup)."
Ferguson said he saying he had banned two newspapers for printing stories about friction between him and Rooney.
"The issue you're all going on about in the papers is absolute rubbish,” he said. “I've banned two papers from the press conference and they won't get back in here until they apologise.
“There is absolutely no issue between Wayne Rooney and I. To suggest we don't talk to each other on the training ground is absolute nonsense.
"Rooney understood the reasons for not playing him and that was completely tactical. And I think I was right.
“I left out Shinji Kagawa after he had scored a hat-trick. I thought I’d get more stick for that.”
Ferguson said at the time that Rooney’s omission was a tactical decision to allow United to cope with Real playmaker Xabi Alonso, a decision that worked until Nani was controversially dismissed.
The United boss refused to speak to the media after that match, but addressed both the inclusion of Danny Welbeck ahead of Rooney, and the performance of referee Cuneyt Cakir.
“We don't always get it right but I think we did get it right. Danny Welbeck is the best player we have in terms of operating in a double role.
“We had to choke Xabi Alonso's ability to control the game, which Danny did, and that took away Alonso's control of the game and his ability to go further forward and be an attacking player. We don't always get it right but we definitely did on Tuesday.
"It is hard to keep your faith when you have things like (Nani’s dismissal). That’s the third time we have been knocked out by a referee.”