Despite the backroom unease, Mackay said that he hopes to remain in charge of the Bluebirds and steer them to safety this season.
"We are all working to ensure Cardiff City is again playing top-level football next season," Sky Sports News quotes the 41-year-old as saying. "I want to be talking to the media in a year's time as Cardiff City manager in the Premier League.
"We relish being in the Premier League in terms of players and fans. Our aim is to be the best we can be and finish as high as we can.
"I am proud to be manager here. We will keep moving forward and make sure everything we do is for the best of Cardiff City. I will always do my best and that will never change."